Skip to main content

2016 | OriginalPaper | Buchkapitel

22. Interactive Nonlinear Multiobjective Optimization Methods

verfasst von : Kaisa Miettinen, Jussi Hakanen, Dmitry Podkopaev

Erschienen in: Multiple Criteria Decision Analysis

Verlag: Springer New York

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

An overview of interactive methods for solving nonlinear multiobjective optimization problems is given. In interactive methods, the decision maker progressively provides preference information so that the her or his most satisfactory Pareto optimal solution can be found. The basic features of several methods are introduced and some theoretical results are provided. In addition, references to modifications and applications as well as to other methods are indicated. As the role of the decision maker is very important in interactive methods, methods presented are classified according to the type of preference information that the decision maker is assumed to provide.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat Agrell, P.J., Lence, B.J., Stam, A.: An interactive multicriteria decision model for multipurpose reservoir management: the Shellmouth reservoir. J. Multi-Criteria Decis. Anal. 7, 61–86 (1998)CrossRef Agrell, P.J., Lence, B.J., Stam, A.: An interactive multicriteria decision model for multipurpose reservoir management: the Shellmouth reservoir. J. Multi-Criteria Decis. Anal. 7, 61–86 (1998)CrossRef
2.
Zurück zum Zitat Aksoy, Y., Butler, T.W., Minor III, E.D.: Comparative studies in interactive multiple objective mathematical programming. Eur. J. Oper. Res. 89, 408–422 (1996)CrossRef Aksoy, Y., Butler, T.W., Minor III, E.D.: Comparative studies in interactive multiple objective mathematical programming. Eur. J. Oper. Res. 89, 408–422 (1996)CrossRef
3.
Zurück zum Zitat Al-alvani, J.E., Hobbs, B.F., Malakooti, B.: An interactive integrated multiobjective optimization approach for quasiconcave/quasiconvex utility functions. In: Goicoechea, A., Duckstein, L., Zionts, S. (eds.) Multiple Criteria Decision Making: Proceedings of the Ninth International Conference: Theory and Applications in Business, Industry, and Government, pp. 45–60. Springer, New York (1992) Al-alvani, J.E., Hobbs, B.F., Malakooti, B.: An interactive integrated multiobjective optimization approach for quasiconcave/quasiconvex utility functions. In: Goicoechea, A., Duckstein, L., Zionts, S. (eds.) Multiple Criteria Decision Making: Proceedings of the Ninth International Conference: Theory and Applications in Business, Industry, and Government, pp. 45–60. Springer, New York (1992)
4.
Zurück zum Zitat Antunes, C.H., Alves, M.J., Silva, A.L., Clímaco, J.N.: An integrated MOLP method base package – a guided tour of TOMMIX. Comput. Oper. Res. 19, 609–625 (1992)CrossRef Antunes, C.H., Alves, M.J., Silva, A.L., Clímaco, J.N.: An integrated MOLP method base package – a guided tour of TOMMIX. Comput. Oper. Res. 19, 609–625 (1992)CrossRef
5.
Zurück zum Zitat Antunes, C.H., Melo, M.P., Clímaco, J.N.: On the integration of an interactive MOLP procedure base and expert system technique. Eur. J. Oper. Res. 61, 135–144 (1992)CrossRef Antunes, C.H., Melo, M.P., Clímaco, J.N.: On the integration of an interactive MOLP procedure base and expert system technique. Eur. J. Oper. Res. 61, 135–144 (1992)CrossRef
6.
Zurück zum Zitat Aubin, J.-P., Näslund, B.: An exterior branching algorithm. Working Paper 72–42, European Institute for Advanced Studies in Management, Brussels (1972) Aubin, J.-P., Näslund, B.: An exterior branching algorithm. Working Paper 72–42, European Institute for Advanced Studies in Management, Brussels (1972)
7.
Zurück zum Zitat Baba, N., Takeda, H., Miyake, T.: Interactive multi-objective programming technique using random optimization method. Int. J. Syst. Sci. 19, 151–159 (1988)CrossRef Baba, N., Takeda, H., Miyake, T.: Interactive multi-objective programming technique using random optimization method. Int. J. Syst. Sci. 19, 151–159 (1988)CrossRef
8.
Zurück zum Zitat Bard, J.F.: A multiobjective methodology for selecting subsystem automation options. Manag. Sci. 32, 1628–1641 (1986)CrossRef Bard, J.F.: A multiobjective methodology for selecting subsystem automation options. Manag. Sci. 32, 1628–1641 (1986)CrossRef
9.
Zurück zum Zitat Benayoun, R., de Montgolfier, J., Tergny, J., Laritchev, O.: Linear programming with multiple objective functions: step method (STEM). Math. Program. 1, 366–375 (1971)CrossRef Benayoun, R., de Montgolfier, J., Tergny, J., Laritchev, O.: Linear programming with multiple objective functions: step method (STEM). Math. Program. 1, 366–375 (1971)CrossRef
10.
Zurück zum Zitat Benson, H.P., Aksoy,Y.: Using efficient feasible directions in interactive multiple objective linear programming. Oper. Res. Lett. 10, 203–209 (1991)CrossRef Benson, H.P., Aksoy,Y.: Using efficient feasible directions in interactive multiple objective linear programming. Oper. Res. Lett. 10, 203–209 (1991)CrossRef
11.
Zurück zum Zitat Bischoff, E.: Two empirical tests with approaches to multiple-criteria decision making. In: Grauer, M., Thompson, M., Wierzbicki, A.P. (eds.) Plural Rationality and Interactive Decision Processes, pp. 344–347. Springer, Berlin, Heidelberg (1985)CrossRef Bischoff, E.: Two empirical tests with approaches to multiple-criteria decision making. In: Grauer, M., Thompson, M., Wierzbicki, A.P. (eds.) Plural Rationality and Interactive Decision Processes, pp. 344–347. Springer, Berlin, Heidelberg (1985)CrossRef
12.
Zurück zum Zitat Bischoff, E.: Multi-objective decision analysis – the right objectives? In: Fandel, G., Grauer, M., Kurzhanski, A., Wierzbicki, A.P. (eds.) Large-Scale Modelling and Interactive Decision Analysis, pp. 155–160. Springer, Heidelberg (1986)CrossRef Bischoff, E.: Multi-objective decision analysis – the right objectives? In: Fandel, G., Grauer, M., Kurzhanski, A., Wierzbicki, A.P. (eds.) Large-Scale Modelling and Interactive Decision Analysis, pp. 155–160. Springer, Heidelberg (1986)CrossRef
13.
Zurück zum Zitat Bogetoft, P., Hallefjord, Å., Kok, M.: On the convergence of reference point methods in multiobjective programming. Eur. J. Oper. Res. 34, 56–68 (1988)CrossRef Bogetoft, P., Hallefjord, Å., Kok, M.: On the convergence of reference point methods in multiobjective programming. Eur. J. Oper. Res. 34, 56–68 (1988)CrossRef
14.
Zurück zum Zitat Branke, J., Deb, K., Miettinen, K., Slowinski, R. (eds.): Multiobjective Optimization: Interactive and Evolutionary Approaches. Springer, Berlin, Heidelberg (2008) Branke, J., Deb, K., Miettinen, K., Slowinski, R. (eds.): Multiobjective Optimization: Interactive and Evolutionary Approaches. Springer, Berlin, Heidelberg (2008)
15.
Zurück zum Zitat Brockhoff, K.: Experimental test of MCDM algorithms in a modular approach. Eur. J. Oper. Res. 22, 159–166 (1985)CrossRef Brockhoff, K.: Experimental test of MCDM algorithms in a modular approach. Eur. J. Oper. Res. 22, 159–166 (1985)CrossRef
16.
Zurück zum Zitat Buchanan, J.T.: Multiple objective mathematical programming: a review. N. Z. Oper. Res. 14, 1–27 (1986) Buchanan, J.T.: Multiple objective mathematical programming: a review. N. Z. Oper. Res. 14, 1–27 (1986)
17.
Zurück zum Zitat Buchanan, J.T.: An experimental evaluation of interactive MCDM methods and the decision making process. J. Oper. Res. Soc. 45, 1050–1059 (1994)CrossRef Buchanan, J.T.: An experimental evaluation of interactive MCDM methods and the decision making process. J. Oper. Res. Soc. 45, 1050–1059 (1994)CrossRef
18.
Zurück zum Zitat Buchanan, J.T.: A naïve approach for solving MCDM problems: the GUESS method. J. Oper. Res. Soc. 48, 202–206 (1997)CrossRef Buchanan, J.T.: A naïve approach for solving MCDM problems: the GUESS method. J. Oper. Res. Soc. 48, 202–206 (1997)CrossRef
19.
Zurück zum Zitat Buchanan, J.T., Corner, J.L.: The effects of anchoring in interactive MCDM solution methods. Comput. Oper. Res. 24, 907–918 (1997)CrossRef Buchanan, J.T., Corner, J.L.: The effects of anchoring in interactive MCDM solution methods. Comput. Oper. Res. 24, 907–918 (1997)CrossRef
20.
Zurück zum Zitat Buchanan, J.T., Daellenbach, H.G.: A comparative evaluation of interactive solution methods for multiple objective decision models. Eur. J. Oper. Res. 29, 353–359 (1987)CrossRef Buchanan, J.T., Daellenbach, H.G.: A comparative evaluation of interactive solution methods for multiple objective decision models. Eur. J. Oper. Res. 29, 353–359 (1987)CrossRef
21.
Zurück zum Zitat Censor, Y.: Pareto optimality in multiobjective problems. Appl. Math. Optim. 4, 41–59 (1977)CrossRef Censor, Y.: Pareto optimality in multiobjective problems. Appl. Math. Optim. 4, 41–59 (1977)CrossRef
22.
Zurück zum Zitat Chankong, V., Haimes, Y.Y.: The interactive surrogate worth trade-off (ISWT) method for multiobjective decision-making. In: Zionts, S. (ed.) Multiple Criteria Problem Solving, pp. 42–67. Springer, Berlin, Heidelberg (1978)CrossRef Chankong, V., Haimes, Y.Y.: The interactive surrogate worth trade-off (ISWT) method for multiobjective decision-making. In: Zionts, S. (ed.) Multiple Criteria Problem Solving, pp. 42–67. Springer, Berlin, Heidelberg (1978)CrossRef
23.
Zurück zum Zitat Chankong, V., Haimes, Y.Y.: Multiobjective Decision Making Theory and Methodology. Elsevier, New York (1983) Chankong, V., Haimes, Y.Y.: Multiobjective Decision Making Theory and Methodology. Elsevier, New York (1983)
24.
Zurück zum Zitat Charnes, A., Cooper, W.W.: Management Models and Industrial Applications of Linear Programming, vol. 1. Wiley, New York (1961) Charnes, A., Cooper, W.W.: Management Models and Industrial Applications of Linear Programming, vol. 1. Wiley, New York (1961)
25.
Zurück zum Zitat Charnes, A., Cooper, W.W.: Goal programming and multiple objective optimization; part 1. Eur. J. Oper. Res. 1, 39–54 (1977)CrossRef Charnes, A., Cooper, W.W.: Goal programming and multiple objective optimization; part 1. Eur. J. Oper. Res. 1, 39–54 (1977)CrossRef
26.
Zurück zum Zitat Chen, J., Lin, S.: An interactive neural network-based approach for solving multiple criteria decision-making problems. Decis. Support Syst. 36, 137–146 (2003)CrossRef Chen, J., Lin, S.: An interactive neural network-based approach for solving multiple criteria decision-making problems. Decis. Support Syst. 36, 137–146 (2003)CrossRef
27.
Zurück zum Zitat Chen, T., Wang, B.-I.: An interactive method for multiobjective decision making. In: Straszak, A. (ed.) Large Scale Systems: Theory and Applications 1983, pp. 277–282. Pergamon, Oxford (1984) Chen, T., Wang, B.-I.: An interactive method for multiobjective decision making. In: Straszak, A. (ed.) Large Scale Systems: Theory and Applications 1983, pp. 277–282. Pergamon, Oxford (1984)
28.
Zurück zum Zitat Clímaco, J.N., Antunes, C.H.: Flexible method bases and man-machine interfaces as key features in interactive MOLP approaches. In: Korhonen, P., Lewandowski, A., Wallenius, J. (eds.), Multiple Criteria Decision Support, pp. 207–216. Springer, Berlin (1991) Clímaco, J.N., Antunes, C.H.: Flexible method bases and man-machine interfaces as key features in interactive MOLP approaches. In: Korhonen, P., Lewandowski, A., Wallenius, J. (eds.), Multiple Criteria Decision Support, pp. 207–216. Springer, Berlin (1991)
29.
Zurück zum Zitat Clímaco, J.N., Antunes, C.H.: Man-machine interfacing in MCDA. In: Tzeng, G.H., Wand, H.F., Wen, U.P., Yu, P.L. (eds.) Multiple Criteria Decision Making – Proceedings of the Tenth International Conference: Expand and Enrich the Domains of Thinking and Application, pp. 239–253. Springer, New York (1994)CrossRef Clímaco, J.N., Antunes, C.H.: Man-machine interfacing in MCDA. In: Tzeng, G.H., Wand, H.F., Wen, U.P., Yu, P.L. (eds.) Multiple Criteria Decision Making – Proceedings of the Tenth International Conference: Expand and Enrich the Domains of Thinking and Application, pp. 239–253. Springer, New York (1994)CrossRef
30.
Zurück zum Zitat Clímaco, J.N., Antunes, C.H., Alves, M.J.: From TRIMAP to SOMMIX – building effective interactive MOLP computational tools. In: Fandel, G., Gal, T. (eds.) Multiple Criteria Decision Making: Proceedings of the Twelfth International Conference, pp. 285–296. Springer, Berlin, Heidelberg (1997)CrossRef Clímaco, J.N., Antunes, C.H., Alves, M.J.: From TRIMAP to SOMMIX – building effective interactive MOLP computational tools. In: Fandel, G., Gal, T. (eds.) Multiple Criteria Decision Making: Proceedings of the Twelfth International Conference, pp. 285–296. Springer, Berlin, Heidelberg (1997)CrossRef
31.
Zurück zum Zitat Corley, H.W.: A new scalar equivalence for Pareto optimization. IEEE Trans. Automat. Control 25, 829–830 (1980)CrossRef Corley, H.W.: A new scalar equivalence for Pareto optimization. IEEE Trans. Automat. Control 25, 829–830 (1980)CrossRef
32.
Zurück zum Zitat Corner, J.L., Buchanan, J.T.: Experimental consideration of preference in decision making under certainty. J. Multi-Criteria Decis. Anal. 4, 107–121 (1995)CrossRef Corner, J.L., Buchanan, J.T.: Experimental consideration of preference in decision making under certainty. J. Multi-Criteria Decis. Anal. 4, 107–121 (1995)CrossRef
33.
Zurück zum Zitat Corner, J.L., Buchanan, J.T.: Capturing decision maker preference: experimental comparison of decision analysis and MCDM techniques. Eur. J. Oper. Res. 98, 85–97 (1997)CrossRef Corner, J.L., Buchanan, J.T.: Capturing decision maker preference: experimental comparison of decision analysis and MCDM techniques. Eur. J. Oper. Res. 98, 85–97 (1997)CrossRef
34.
Zurück zum Zitat Costa, J.P., Clímaco, J.N.: A multiple reference point parallel approach in MCDM. In: Tzeng, G.H., Wand, H.F., Wen, U.P., Yu, P.L. (eds.) Multiple Criteria Decision Making – Proceedings of the Tenth International Conference: Expand and Enrich the Domains of Thinking and Application, pp. 255–263. Springer, New York (1994)CrossRef Costa, J.P., Clímaco, J.N.: A multiple reference point parallel approach in MCDM. In: Tzeng, G.H., Wand, H.F., Wen, U.P., Yu, P.L. (eds.) Multiple Criteria Decision Making – Proceedings of the Tenth International Conference: Expand and Enrich the Domains of Thinking and Application, pp. 255–263. Springer, New York (1994)CrossRef
35.
Zurück zum Zitat Crama, Y.: Analysis of STEM-like solutions to multi-objective programming problems. In: French, S., Hartley, R., Thomas, L.C., White, D.J. (eds.) Multi-Objective Decision Making, pp. 208–213. Academic, New York (1983) Crama, Y.: Analysis of STEM-like solutions to multi-objective programming problems. In: French, S., Hartley, R., Thomas, L.C., White, D.J. (eds.) Multi-Objective Decision Making, pp. 208–213. Academic, New York (1983)
36.
Zurück zum Zitat Deb, K.: Multi-Objective Optimization using Evolutionary Algorithms. Wiley, Chichester (2001) Deb, K.: Multi-Objective Optimization using Evolutionary Algorithms. Wiley, Chichester (2001)
37.
Zurück zum Zitat Deb, K., Miettinen, K.: Nadir point estimation using evolutionary approaches: better accuracy and computational speed through focused search. In: Ehrgott, M., Naujoks, B., Stewart, T.J., Wallenius, J. (eds.) Multiple Criteria Decision Making for Sustainable Energy and Transportation Systems, Proceedings, pp. 339–354. Springer, Berlin, Heidelberg (2010)CrossRef Deb, K., Miettinen, K.: Nadir point estimation using evolutionary approaches: better accuracy and computational speed through focused search. In: Ehrgott, M., Naujoks, B., Stewart, T.J., Wallenius, J. (eds.) Multiple Criteria Decision Making for Sustainable Energy and Transportation Systems, Proceedings, pp. 339–354. Springer, Berlin, Heidelberg (2010)CrossRef
38.
Zurück zum Zitat Deb, K., Miettinen, K., Chaudhuri, S.: Towards an estimation of nadir objective vector using a hybrid of evolutionary and local search approaches. IEEE Trans. Evol. Comput. 14, 821–841 (2010)CrossRef Deb, K., Miettinen, K., Chaudhuri, S.: Towards an estimation of nadir objective vector using a hybrid of evolutionary and local search approaches. IEEE Trans. Evol. Comput. 14, 821–841 (2010)CrossRef
39.
Zurück zum Zitat Diaz, A.: Interactive solution to multiobjective optimization problems. Int. J. Numer. Methods Eng. 24, 1865–1877 (1987)CrossRef Diaz, A.: Interactive solution to multiobjective optimization problems. Int. J. Numer. Methods Eng. 24, 1865–1877 (1987)CrossRef
40.
Zurück zum Zitat Dyer, J.S.: Interactive goal programming. Manag. Sci. 19, 62–70 (1972)CrossRef Dyer, J.S.: Interactive goal programming. Manag. Sci. 19, 62–70 (1972)CrossRef
41.
Zurück zum Zitat Dyer, J.S.: An empirical investigation of a man-machine interactive approach to the solution of the multiple criteria problem. In: Cochrane, J.L., Zeleny, M. (eds.) Multiple Criteria Decision Making, pp. 202–216. University of South Carolina Press, Columbia (1973) Dyer, J.S.: An empirical investigation of a man-machine interactive approach to the solution of the multiple criteria problem. In: Cochrane, J.L., Zeleny, M. (eds.) Multiple Criteria Decision Making, pp. 202–216. University of South Carolina Press, Columbia (1973)
42.
Zurück zum Zitat Dyer, J.S.: A time-sharing computer program for the solution of the multiple criteria problem. Manag. Sci. 19, 1379–1383 (1973)CrossRef Dyer, J.S.: A time-sharing computer program for the solution of the multiple criteria problem. Manag. Sci. 19, 1379–1383 (1973)CrossRef
43.
Zurück zum Zitat Dyer, J.S., Sarin, R.K.: Multicriteria decision making. In: Holzman, A.G. (ed.) Mathematical Programming for Operations Researchers and Computer Scientists, pp. 123–148. Marcel Dekker, New York (1981) Dyer, J.S., Sarin, R.K.: Multicriteria decision making. In: Holzman, A.G. (ed.) Mathematical Programming for Operations Researchers and Computer Scientists, pp. 123–148. Marcel Dekker, New York (1981)
44.
Zurück zum Zitat Ehrgott, M.: Multicriteria Optimization. Springer, Berlin, Heidelberg (2000)CrossRef Ehrgott, M.: Multicriteria Optimization. Springer, Berlin, Heidelberg (2000)CrossRef
45.
Zurück zum Zitat Eschenauer, H.A., Schäfer, E., Bernau, H.: Application of interactive vector optimization methods with regard to problems in structural mechanics. In: Eschenauer, H.A., Thierauf, G. (eds.) Discretization Methods and Structural Optimization – Procedures and Applications, pp. 95–101. Springer, Berlin, Heidelberg (1989)CrossRef Eschenauer, H.A., Schäfer, E., Bernau, H.: Application of interactive vector optimization methods with regard to problems in structural mechanics. In: Eschenauer, H.A., Thierauf, G. (eds.) Discretization Methods and Structural Optimization – Procedures and Applications, pp. 95–101. Springer, Berlin, Heidelberg (1989)CrossRef
46.
Zurück zum Zitat Eschenauer, H.A., Osyczka, A., Schäfer, E.: Interactive multicriteria optimization in design process. In: Eschenauer, H., Koski, J., Osyczka, A. (eds.) Multicriteria Design Optimization Procedures and Applications, pp. 71–114. Springer, Berlin, Heidelberg (1990)CrossRef Eschenauer, H.A., Osyczka, A., Schäfer, E.: Interactive multicriteria optimization in design process. In: Eschenauer, H., Koski, J., Osyczka, A. (eds.) Multicriteria Design Optimization Procedures and Applications, pp. 71–114. Springer, Berlin, Heidelberg (1990)CrossRef
47.
Zurück zum Zitat Eskelinen, P., Miettinen, K.: Trade-off analysis approach for interactive nonlinear multiobjective optimization. OR Spectr. 34, 803–816 (2012)CrossRef Eskelinen, P., Miettinen, K.: Trade-off analysis approach for interactive nonlinear multiobjective optimization. OR Spectr. 34, 803–816 (2012)CrossRef
48.
Zurück zum Zitat Eskelinen, P., Miettinen, K., Klamroth, K., Hakanen, J.: Pareto Navigator for interactive nonlinear multiobjective optimization. OR Spectr. 32, 211–227 (2010)CrossRef Eskelinen, P., Miettinen, K., Klamroth, K., Hakanen, J.: Pareto Navigator for interactive nonlinear multiobjective optimization. OR Spectr. 32, 211–227 (2010)CrossRef
49.
Zurück zum Zitat Feng, J.: Dual worth trade-off method and its application for solving multiple criteria decision making problems. J. Syst. Eng. Electron. 17, 554–558 (2006)CrossRef Feng, J.: Dual worth trade-off method and its application for solving multiple criteria decision making problems. J. Syst. Eng. Electron. 17, 554–558 (2006)CrossRef
50.
Zurück zum Zitat Ferreira, P.A.V., Geromel, J.C.: An interactive projection method for multicriteria optimization problems. IEEE Trans. Syst. Man Cybern. 20, 596–605 (1990)CrossRef Ferreira, P.A.V., Geromel, J.C.: An interactive projection method for multicriteria optimization problems. IEEE Trans. Syst. Man Cybern. 20, 596–605 (1990)CrossRef
51.
Zurück zum Zitat Ferreira, P.A.V., Machado, M.E.S.: Solving multiple-objective problems in the objective space. J. Optim. Theory Appl. 89, 659–680 (1996)CrossRef Ferreira, P.A.V., Machado, M.E.S.: Solving multiple-objective problems in the objective space. J. Optim. Theory Appl. 89, 659–680 (1996)CrossRef
52.
Zurück zum Zitat Fishburn, P.C.: Lexicographic orders, utilities and decision rules: a survey. Manag. Sci. 20, 1442–1471 (1974)CrossRef Fishburn, P.C.: Lexicographic orders, utilities and decision rules: a survey. Manag. Sci. 20, 1442–1471 (1974)CrossRef
53.
Zurück zum Zitat Friesz, T.L.: Multiobjective optimization in transportation: the case of equilibrium network design. In: Morse, N.N. (ed.) Organizations: Multiple Agents with Multiple Criteria, pp. 116–127. Springer, Berlin, Heidelberg (1981)CrossRef Friesz, T.L.: Multiobjective optimization in transportation: the case of equilibrium network design. In: Morse, N.N. (ed.) Organizations: Multiple Agents with Multiple Criteria, pp. 116–127. Springer, Berlin, Heidelberg (1981)CrossRef
54.
Zurück zum Zitat Gardiner, L.R., Steuer, R.E.: Unified interactive multiple objective programming. Eur. J. Oper. Res. 74, 391–406 (1994)CrossRef Gardiner, L.R., Steuer, R.E.: Unified interactive multiple objective programming. Eur. J. Oper. Res. 74, 391–406 (1994)CrossRef
55.
Zurück zum Zitat Gardiner, L.R., Steuer, R.E.: Unified interactive multiple objective programming: an open architecture for accommodating new procedures. J. Oper. Res. Soc. 45, 1456–1466 (1994)CrossRef Gardiner, L.R., Steuer, R.E.: Unified interactive multiple objective programming: an open architecture for accommodating new procedures. J. Oper. Res. Soc. 45, 1456–1466 (1994)CrossRef
56.
Zurück zum Zitat Gass, S., Saaty, T.: The computational algorithm for the parametric objective function. Nav. Res. Logist. Q. 2, 39–45 (1955)CrossRef Gass, S., Saaty, T.: The computational algorithm for the parametric objective function. Nav. Res. Logist. Q. 2, 39–45 (1955)CrossRef
57.
Zurück zum Zitat Geoffrion, A.M., Dyer, J.S., Feinberg, A.: An interactive approach for multi-criterion optimization, with an application to the operation of an academic department. Manag. Sci. 19, 357–368 (1972)CrossRef Geoffrion, A.M., Dyer, J.S., Feinberg, A.: An interactive approach for multi-criterion optimization, with an application to the operation of an academic department. Manag. Sci. 19, 357–368 (1972)CrossRef
58.
Zurück zum Zitat Gershon, M., Duckstein, L.: An algorithm for choosing of a multiobjective technique. In: Hansen, P. (ed.) Essays and Surveys on Multiple Criteria Decision Making, pp. 53–62. Springer, Berlin, Heidelberg (1983)CrossRef Gershon, M., Duckstein, L.: An algorithm for choosing of a multiobjective technique. In: Hansen, P. (ed.) Essays and Surveys on Multiple Criteria Decision Making, pp. 53–62. Springer, Berlin, Heidelberg (1983)CrossRef
59.
Zurück zum Zitat Gibson, M., Bernardo, J.J., Chung, C., Badinelli, R.: A comparison of interactive multiple-objective decision making procedures. Comput. Oper. Res. 14, 97–105 (1987)CrossRef Gibson, M., Bernardo, J.J., Chung, C., Badinelli, R.: A comparison of interactive multiple-objective decision making procedures. Comput. Oper. Res. 14, 97–105 (1987)CrossRef
60.
Zurück zum Zitat Gouljashki, V.G., Kirilov, L.M., Narula, S.C., Vassilev, V.S.: A reference direction interactive algorithm of the multiple objective nonlinear integer programming. In: Fandel, G., Gal, T. (eds.) Multiple Criteria Decision Making: Proceedings of the Twelfth International Conference, pp. 308–317. Springer, Berlin, Heidelberg (1997)CrossRef Gouljashki, V.G., Kirilov, L.M., Narula, S.C., Vassilev, V.S.: A reference direction interactive algorithm of the multiple objective nonlinear integer programming. In: Fandel, G., Gal, T. (eds.) Multiple Criteria Decision Making: Proceedings of the Twelfth International Conference, pp. 308–317. Springer, Berlin, Heidelberg (1997)CrossRef
61.
Zurück zum Zitat Granat, J., Makowski, M.: Interactive specification and analysis of aspiration-based preferences. Eur. J. Oper. Res. 122, 469–485 (2000)CrossRef Granat, J., Makowski, M.: Interactive specification and analysis of aspiration-based preferences. Eur. J. Oper. Res. 122, 469–485 (2000)CrossRef
62.
Zurück zum Zitat Grauer, M., Lewandowski, A., Wierzbicki, A.: DIDASS – theory, implementation and experiences. In: Grauer, M., Wierzbicki, A.P. (eds.) Interactive Decision Analysis, pp. 22–30. Springer, Heidelberg (1984)CrossRef Grauer, M., Lewandowski, A., Wierzbicki, A.: DIDASS – theory, implementation and experiences. In: Grauer, M., Wierzbicki, A.P. (eds.) Interactive Decision Analysis, pp. 22–30. Springer, Heidelberg (1984)CrossRef
63.
Zurück zum Zitat Haimes, Y.Y.: The surrogate worth trade-off (SWT) method and its extensions. In: Fandel, G., Gal, T. (eds.) Multiple Criteria Decision Making Theory and Application, pp. 85–108. Springer, Berlin, Heidelberg (1980)CrossRef Haimes, Y.Y.: The surrogate worth trade-off (SWT) method and its extensions. In: Fandel, G., Gal, T. (eds.) Multiple Criteria Decision Making Theory and Application, pp. 85–108. Springer, Berlin, Heidelberg (1980)CrossRef
64.
Zurück zum Zitat Haimes, Y.Y., Lasdon, L.S., Wismer, D.A.: On a bicriterion formulation of the problems of integrated system identification and system optimization. IEEE Trans. Syst. Man Cybern. 1, 296–297 (1971)CrossRef Haimes, Y.Y., Lasdon, L.S., Wismer, D.A.: On a bicriterion formulation of the problems of integrated system identification and system optimization. IEEE Trans. Syst. Man Cybern. 1, 296–297 (1971)CrossRef
65.
Zurück zum Zitat Haimes, Y.Y., Tarvainen, K., Shima, T., Thadathil, J.: Hierarchical Multiobjective Analysis of Large-Scale Systems. Hemisphere, New York (1990) Haimes, Y.Y., Tarvainen, K., Shima, T., Thadathil, J.: Hierarchical Multiobjective Analysis of Large-Scale Systems. Hemisphere, New York (1990)
66.
Zurück zum Zitat Hakanen, J., Kawajiri, Y., Miettinen, K., Biegler, L.T.: Interactive multi-objective optimization for simulated moving bed processes. Control Cybern. 36, 282–320 (2007) Hakanen, J., Kawajiri, Y., Miettinen, K., Biegler, L.T.: Interactive multi-objective optimization for simulated moving bed processes. Control Cybern. 36, 282–320 (2007)
67.
Zurück zum Zitat Hakanen, J., Miettinen, K., Sahlstedt, K.: Wastewater treatment: new insight provided by interactive multiobjective optimization. Decis. Support Syst. 51, 328–337 (2011)CrossRef Hakanen, J., Miettinen, K., Sahlstedt, K.: Wastewater treatment: new insight provided by interactive multiobjective optimization. Decis. Support Syst. 51, 328–337 (2011)CrossRef
68.
Zurück zum Zitat Hakanen, J., Sahlstedt, K., Miettinen, K.: Wastewater treatment plant design and operation under multiple conflicting objective functions. Environ. Model. Softw. 46, 240–249 (2013)CrossRef Hakanen, J., Sahlstedt, K., Miettinen, K.: Wastewater treatment plant design and operation under multiple conflicting objective functions. Environ. Model. Softw. 46, 240–249 (2013)CrossRef
69.
Zurück zum Zitat Hall, W.A., Haimes, Y.Y.: The surrogate worth trade-off method with multiple decision-makers. In: Zeleny, M. (ed.) Multiple Criteria Decision Making Kyoto 1975, pp. 207–233. Springer, Berlin, Heidelberg (1976)CrossRef Hall, W.A., Haimes, Y.Y.: The surrogate worth trade-off method with multiple decision-makers. In: Zeleny, M. (ed.) Multiple Criteria Decision Making Kyoto 1975, pp. 207–233. Springer, Berlin, Heidelberg (1976)CrossRef
70.
Zurück zum Zitat Hallefjord, Å., Jörnsten, K.: An entropy target-point approach to multiobjective programming. Int. J. Syst. Sci. 17, 639–653 (1986)CrossRef Hallefjord, Å., Jörnsten, K.: An entropy target-point approach to multiobjective programming. Int. J. Syst. Sci. 17, 639–653 (1986)CrossRef
71.
Zurück zum Zitat Hämäläinen, J.P., Miettinen, K., Tarvainen, P., Toivanen, J.: Interactive solution approach to a multiobjective optimization problem in a paper machine headbox design. J. Optim. Theory Appl. 116, 265–281 (2003)CrossRef Hämäläinen, J.P., Miettinen, K., Tarvainen, P., Toivanen, J.: Interactive solution approach to a multiobjective optimization problem in a paper machine headbox design. J. Optim. Theory Appl. 116, 265–281 (2003)CrossRef
72.
Zurück zum Zitat Heikkola, E., Miettinen, K., Nieminen, P.: Multiobjective optimization of an ultrasonic transducer using NIMBUS. Ultrasonics 44, 368–380 (2006)CrossRef Heikkola, E., Miettinen, K., Nieminen, P.: Multiobjective optimization of an ultrasonic transducer using NIMBUS. Ultrasonics 44, 368–380 (2006)CrossRef
73.
Zurück zum Zitat Hemming, T.: Some modifications of a large step gradient method for interactive multicriterion optimization. In: Morse, N.N. (ed.) Organizations: Multiple Agents with Multiple Criteria, pp. 128–139. Springer, Berlin, Heidelberg (1981)CrossRef Hemming, T.: Some modifications of a large step gradient method for interactive multicriterion optimization. In: Morse, N.N. (ed.) Organizations: Multiple Agents with Multiple Criteria, pp. 128–139. Springer, Berlin, Heidelberg (1981)CrossRef
74.
Zurück zum Zitat Hobbs, B.F.: What can we learn from experiments in multiobjective decision analysis? IEEE Trans. Syst. Man. Cybern. 16, 384–394 (1986)CrossRef Hobbs, B.F.: What can we learn from experiments in multiobjective decision analysis? IEEE Trans. Syst. Man. Cybern. 16, 384–394 (1986)CrossRef
75.
Zurück zum Zitat Hu, C., Shen, Y., Li, S.: An interactive satisficing method based on alternative tolerance for fuzzy multiple objective optimization. Appl. Math. Model. 33, 1886–1893 (2009)CrossRef Hu, C., Shen, Y., Li, S.: An interactive satisficing method based on alternative tolerance for fuzzy multiple objective optimization. Appl. Math. Model. 33, 1886–1893 (2009)CrossRef
76.
Zurück zum Zitat Huang, H., Tian, Z.: Application of neural network to interactive physical programming. In: Wang, J., Liao, X., Yi, Z. (eds.) Advances in Neural Networks, pp. 725–730. Springer, Berlin, Heidelberg (2005) Huang, H., Tian, Z.: Application of neural network to interactive physical programming. In: Wang, J., Liao, X., Yi, Z. (eds.) Advances in Neural Networks, pp. 725–730. Springer, Berlin, Heidelberg (2005)
77.
Zurück zum Zitat Huang, H.-Z., Gu, Y.-K., Du, X.: An interactive fuzzy multi-objective optimization method for engineering design. Eng. Appl. Artif. Intell. 19, 451–460 (2006)CrossRef Huang, H.-Z., Gu, Y.-K., Du, X.: An interactive fuzzy multi-objective optimization method for engineering design. Eng. Appl. Artif. Intell. 19, 451–460 (2006)CrossRef
78.
Zurück zum Zitat Hussein, M.L., El-Ghaffar, F.S.A.: An interactive approach for vector optimization problems. Eur. J. Oper. Res. 89, 185–192 (1996)CrossRef Hussein, M.L., El-Ghaffar, F.S.A.: An interactive approach for vector optimization problems. Eur. J. Oper. Res. 89, 185–192 (1996)CrossRef
79.
Zurück zum Zitat Hwang, C.-L., Masud, A.S.M.: Multiple Objective Decision Making – Methods and Applications: A State-of-the-Art Survey. Springer, Berlin, Heidelberg (1979)CrossRef Hwang, C.-L., Masud, A.S.M.: Multiple Objective Decision Making – Methods and Applications: A State-of-the-Art Survey. Springer, Berlin, Heidelberg (1979)CrossRef
80.
Zurück zum Zitat Hwang, C.-L., Yoon, K.: Multiple Attribute Decision Making Methods and Applications: A State of the Art Survey. Springer, Berlin, Heidelberg (1981)CrossRef Hwang, C.-L., Yoon, K.: Multiple Attribute Decision Making Methods and Applications: A State of the Art Survey. Springer, Berlin, Heidelberg (1981)CrossRef
81.
Zurück zum Zitat Ignizio, J.P.: Goal Programming and Extensions. Lexington Books, Lexington (1976) Ignizio, J.P.: Goal Programming and Extensions. Lexington Books, Lexington (1976)
83.
Zurück zum Zitat Jaszkiewicz, A., Slowiński, R.: The light beam search – outranking based interactive procedure for multiple-objective mathematical programming. In: Pardalos, P.M., Siskos, Y., Zopounidis, C. (eds.) Advances in Multicriteria Analysis, pp. 129–146. Kluwer, Dordrecht (1995)CrossRef Jaszkiewicz, A., Slowiński, R.: The light beam search – outranking based interactive procedure for multiple-objective mathematical programming. In: Pardalos, P.M., Siskos, Y., Zopounidis, C. (eds.) Advances in Multicriteria Analysis, pp. 129–146. Kluwer, Dordrecht (1995)CrossRef
84.
Zurück zum Zitat Jaszkiewicz, A., Slowiński, R.: The ‘light beam search’ approach – an overview of methodology and applications. Eur. J. Oper. Res. 113, 300–314 (1999)CrossRef Jaszkiewicz, A., Slowiński, R.: The ‘light beam search’ approach – an overview of methodology and applications. Eur. J. Oper. Res. 113, 300–314 (1999)CrossRef
85.
Zurück zum Zitat Jedrzejowicz, P., Rosicka, L.: Multicriterial reliability optimization problem. Found. Control Eng. 8, 165–173 (1983) Jedrzejowicz, P., Rosicka, L.: Multicriterial reliability optimization problem. Found. Control Eng. 8, 165–173 (1983)
86.
Zurück zum Zitat Jeong, I.-J., Kim, K.-J.: D-STEM: a modified Step method with desirability function concept. Comput. Oper. Res. 32, 3175–3190 (2005)CrossRef Jeong, I.-J., Kim, K.-J.: D-STEM: a modified Step method with desirability function concept. Comput. Oper. Res. 32, 3175–3190 (2005)CrossRef
87.
Zurück zum Zitat Kahneman, D., Tversky, A.: Prospect theory: an analysis of decision under risk. Econometrica 47, 263–291 (1979)CrossRef Kahneman, D., Tversky, A.: Prospect theory: an analysis of decision under risk. Econometrica 47, 263–291 (1979)CrossRef
88.
Zurück zum Zitat Kaliszewski, I.: A modified weighted Tchebycheff metric for multiple objective programming. Comput. Oper. Res. 14, 315–323 (1987)CrossRef Kaliszewski, I.: A modified weighted Tchebycheff metric for multiple objective programming. Comput. Oper. Res. 14, 315–323 (1987)CrossRef
89.
Zurück zum Zitat Kaliszewski, I.: Using trade-off information in decision-making algorithms. Comput. Oper. Res. 27, 161–182 (2000)CrossRef Kaliszewski, I.: Using trade-off information in decision-making algorithms. Comput. Oper. Res. 27, 161–182 (2000)CrossRef
90.
Zurück zum Zitat Kaliszewski, I., Michalowski, W.: Searching for psychologically stable solutions of multiple criteria decision problems. Eur. J. Oper. Res. 118, 549–562 (1999)CrossRef Kaliszewski, I., Michalowski, W.: Searching for psychologically stable solutions of multiple criteria decision problems. Eur. J. Oper. Res. 118, 549–562 (1999)CrossRef
91.
Zurück zum Zitat Kaliszewski, I., Zionts, S.: Generalization of the Zionts-Wallenius algorithm. Control Cybern. 33, 477–500 (2004) Kaliszewski, I., Zionts, S.: Generalization of the Zionts-Wallenius algorithm. Control Cybern. 33, 477–500 (2004)
92.
Zurück zum Zitat Kaliszewski, I., Michalowski, W., Kersten, G.: A hybrid interactive technique for the MCDM problems. In: Karwan, M.H., Spronk, J., Wallenius, J. (eds.) Essays in Decision Making: A Volume in Honour of Stanley Zionts, pp. 48–59. Springer, Berlin, Heidelberg (1997)CrossRef Kaliszewski, I., Michalowski, W., Kersten, G.: A hybrid interactive technique for the MCDM problems. In: Karwan, M.H., Spronk, J., Wallenius, J. (eds.) Essays in Decision Making: A Volume in Honour of Stanley Zionts, pp. 48–59. Springer, Berlin, Heidelberg (1997)CrossRef
93.
Zurück zum Zitat Keeney, R.L., Raiffa, H.: Decisions with Multiple Objectives: Preferences and Value Tradeoffs. Wiley, New York (1976) Keeney, R.L., Raiffa, H.: Decisions with Multiple Objectives: Preferences and Value Tradeoffs. Wiley, New York (1976)
94.
Zurück zum Zitat Kim, S.H., Gal, T.: A new interactive algorithm for multi-objective linear programming using maximally changeable dominance cone. Eur. J. Oper. Res. 64, 126–137 (1993)CrossRef Kim, S.H., Gal, T.: A new interactive algorithm for multi-objective linear programming using maximally changeable dominance cone. Eur. J. Oper. Res. 64, 126–137 (1993)CrossRef
95.
Zurück zum Zitat Kim, J., Kim, S.-K.: A CHIM-based interactive Tchebycheff procedure for multiple objective decision making. Comput. Oper. Res. 33, 1557–1574 (2006)CrossRef Kim, J., Kim, S.-K.: A CHIM-based interactive Tchebycheff procedure for multiple objective decision making. Comput. Oper. Res. 33, 1557–1574 (2006)CrossRef
96.
Zurück zum Zitat Kitayama, S., Yamazaki, K.: Compromise point incorporating trade-off ratio in multi-objective optimization. Appl. Soft Comput. 12, 1959–1964 (2012)CrossRef Kitayama, S., Yamazaki, K.: Compromise point incorporating trade-off ratio in multi-objective optimization. Appl. Soft Comput. 12, 1959–1964 (2012)CrossRef
97.
Zurück zum Zitat Klamroth, K., Miettinen, K.: Integrating approximation and interactive decision making in multicriteria optimization. Oper. Res. 56, 222–234 (2008)CrossRef Klamroth, K., Miettinen, K.: Integrating approximation and interactive decision making in multicriteria optimization. Oper. Res. 56, 222–234 (2008)CrossRef
98.
Zurück zum Zitat Klepper, L.Y.: An interactive method for optimization of irradiation plans in radiation therapy of malignant tumors. Biomed. Eng. 40, 291–297 (2006)CrossRef Klepper, L.Y.: An interactive method for optimization of irradiation plans in radiation therapy of malignant tumors. Biomed. Eng. 40, 291–297 (2006)CrossRef
99.
Zurück zum Zitat Kok, M.: Scalarization and the interface with decision makers in interactive multi objective linear programming. In: Serafini, P. (ed.) Mathematics of Multi Objective Optimization, pp. 433–438. Springer, New York (1985)CrossRef Kok, M.: Scalarization and the interface with decision makers in interactive multi objective linear programming. In: Serafini, P. (ed.) Mathematics of Multi Objective Optimization, pp. 433–438. Springer, New York (1985)CrossRef
100.
Zurück zum Zitat Kok, M.: The interface with decision makers and some experimental results in interactive multiple objective programming method. Eur. J. Oper. Res. 26, 96–107 (1986)CrossRef Kok, M.: The interface with decision makers and some experimental results in interactive multiple objective programming method. Eur. J. Oper. Res. 26, 96–107 (1986)CrossRef
101.
Zurück zum Zitat Kok, M., Lootsma, F.A.: Pairwise-comparison methods in multiple objective programming, with applications in a long-term energy-planning model. Eur. J. Oper. Res. 22, 44–55 (1985)CrossRef Kok, M., Lootsma, F.A.: Pairwise-comparison methods in multiple objective programming, with applications in a long-term energy-planning model. Eur. J. Oper. Res. 22, 44–55 (1985)CrossRef
102.
Zurück zum Zitat Köksalan, M.M., Moskowitz, H.: Solving the multiobjective decision making problem using a distance function. In: Tzeng, G.H., Wand, H.F., Wen, U.P., Yu, P.L. (eds.) Multiple Criteria Decision Making – Proceedings of the Tenth International Conference: Expand and Enrich the Domains of Thinking and Application, pp. 101–107. Springer, New York (1994)CrossRef Köksalan, M.M., Moskowitz, H.: Solving the multiobjective decision making problem using a distance function. In: Tzeng, G.H., Wand, H.F., Wen, U.P., Yu, P.L. (eds.) Multiple Criteria Decision Making – Proceedings of the Tenth International Conference: Expand and Enrich the Domains of Thinking and Application, pp. 101–107. Springer, New York (1994)CrossRef
103.
Zurück zum Zitat Köksalan, M., Plante, R.D.: Interactive multicriteria optimization for multiple-response product and process design. Manuf. Serv. Oper. Manag. 5, 334–347 (2003) Köksalan, M., Plante, R.D.: Interactive multicriteria optimization for multiple-response product and process design. Manuf. Serv. Oper. Manag. 5, 334–347 (2003)
104.
Zurück zum Zitat Korhonen, P.: Reference direction approach to multiple objective linear programming: historical overview. In: Karwan, M.H., Spronk, J., Wallenius, J. (eds.) Essays in Decision Making: A Volume in Honour of Stanley Zionts, pp. 74–92. Springer, Berlin, Heidelberg (1997)CrossRef Korhonen, P.: Reference direction approach to multiple objective linear programming: historical overview. In: Karwan, M.H., Spronk, J., Wallenius, J. (eds.) Essays in Decision Making: A Volume in Honour of Stanley Zionts, pp. 74–92. Springer, Berlin, Heidelberg (1997)CrossRef
105.
Zurück zum Zitat Korhonen, P., Halme, M.: Using lexicographic parametric programming for searching a nondominated set in multiple objective linear programming. J. Multi-Criteria Decis. Anal. 5, 291–300 (1996)CrossRef Korhonen, P., Halme, M.: Using lexicographic parametric programming for searching a nondominated set in multiple objective linear programming. J. Multi-Criteria Decis. Anal. 5, 291–300 (1996)CrossRef
106.
Zurück zum Zitat Korhonen, P., Laakso, J.: A visual interactive method for solving the multiple-criteria problem. In: Grauer, M., Wierzbicki, A.P. (eds.) Interactive Decision Analysis, pp. 146–153. Springer, Heidelberg (1984)CrossRef Korhonen, P., Laakso, J.: A visual interactive method for solving the multiple-criteria problem. In: Grauer, M., Wierzbicki, A.P. (eds.) Interactive Decision Analysis, pp. 146–153. Springer, Heidelberg (1984)CrossRef
107.
Zurück zum Zitat Korhonen, P., Laakso, J.: On developing a visual interactive multiple criteria method – an outline. In: Haimes, Y.Y., Chankong, V. (eds.) Decision Making with Multiple Objectives, pp. 272–281. Springer, Berlin, Heidelberg (1985)CrossRef Korhonen, P., Laakso, J.: On developing a visual interactive multiple criteria method – an outline. In: Haimes, Y.Y., Chankong, V. (eds.) Decision Making with Multiple Objectives, pp. 272–281. Springer, Berlin, Heidelberg (1985)CrossRef
108.
Zurück zum Zitat Korhonen, P., Laakso, J.: Solving generalized goal programming problems using a visual interactive approach. Eur. J. Oper. Res. 26, 355–363 (1986)CrossRef Korhonen, P., Laakso, J.: Solving generalized goal programming problems using a visual interactive approach. Eur. J. Oper. Res. 26, 355–363 (1986)CrossRef
109.
Zurück zum Zitat Korhonen, P., Laakso, J.: A visual interactive method for solving the multiple criteria problem. Eur. J. Oper. Res. 24, 277–287 (1986)CrossRef Korhonen, P., Laakso, J.: A visual interactive method for solving the multiple criteria problem. Eur. J. Oper. Res. 24, 277–287 (1986)CrossRef
110.
Zurück zum Zitat Korhonen, P., Narula, S.C.: An evolutionary approach to support decision making with linear decision models. J. Multi-Criteria Decis. Anal. 2, 111–119 (1993)CrossRef Korhonen, P., Narula, S.C.: An evolutionary approach to support decision making with linear decision models. J. Multi-Criteria Decis. Anal. 2, 111–119 (1993)CrossRef
111.
Zurück zum Zitat Korhonen, P., Wallenius, J.: A Pareto race. Nav. Res. Logist. 35, 615–623 (1988)CrossRef Korhonen, P., Wallenius, J.: A Pareto race. Nav. Res. Logist. 35, 615–623 (1988)CrossRef
112.
Zurück zum Zitat Korhonen, P., Wallenius, J.: Observations regarding choice behaviour in interactive multiple criteria decision-making environments: an experimental investigation. In: Lewandowski, A., Stanchev, I. (eds.), Methodology and Software for Interactive Decision Support, pp. 163–170. Springer, Heidelberg (1989)CrossRef Korhonen, P., Wallenius, J.: Observations regarding choice behaviour in interactive multiple criteria decision-making environments: an experimental investigation. In: Lewandowski, A., Stanchev, I. (eds.), Methodology and Software for Interactive Decision Support, pp. 163–170. Springer, Heidelberg (1989)CrossRef
113.
Zurück zum Zitat Korhonen, P., Wallenius, J.: VIG – a visual and dynamic decision support system for multiple objective linear programming. In: Karpak, B., Zionts, S. (eds.) Multiple Criteria Decision Making and Risk Analysis Using Microcomputers, pp. 251–281. Springer, Berlin, Heidelberg (1989)CrossRef Korhonen, P., Wallenius, J.: VIG – a visual and dynamic decision support system for multiple objective linear programming. In: Karpak, B., Zionts, S. (eds.) Multiple Criteria Decision Making and Risk Analysis Using Microcomputers, pp. 251–281. Springer, Berlin, Heidelberg (1989)CrossRef
114.
Zurück zum Zitat Korhonen, P., Wallenius, J.: A multiple objective linear programming decision support system. Decis. Support Syst. 6, 243–251 (1990)CrossRef Korhonen, P., Wallenius, J.: A multiple objective linear programming decision support system. Decis. Support Syst. 6, 243–251 (1990)CrossRef
115.
Zurück zum Zitat Larichev, O.: Cognitive validity in design of decision-aiding techniques. J. Multi-Criteria Decis. Anal. 1, 127–138 (1992)CrossRef Larichev, O.: Cognitive validity in design of decision-aiding techniques. J. Multi-Criteria Decis. Anal. 1, 127–138 (1992)CrossRef
116.
Zurück zum Zitat Larichev, O.I., Polyakov, O.A., Nikiforov, A.O.: Multicriterion linear programming problems. J. Econ. Psychol. 8, 389–407 (1987)CrossRef Larichev, O.I., Polyakov, O.A., Nikiforov, A.O.: Multicriterion linear programming problems. J. Econ. Psychol. 8, 389–407 (1987)CrossRef
117.
Zurück zum Zitat Laukkanen, T., Tveit, T.-M., Ojalehto, V., Miettinen, K., Fogelholm, C.-J.: An interactive multi-objective approach to heat exchanger network synthesis. Comput. Chem. Eng. 34, 943–952 (2010)CrossRef Laukkanen, T., Tveit, T.-M., Ojalehto, V., Miettinen, K., Fogelholm, C.-J.: An interactive multi-objective approach to heat exchanger network synthesis. Comput. Chem. Eng. 34, 943–952 (2010)CrossRef
118.
Zurück zum Zitat Laukkanen, T., Tveit, T.-M., Ojalehto, V., Miettinen, K., Fogelholm, C.-J.: Bilevel heat exchanger network synthesis with an interactive multi-objective optimization method. Appl. Therm. Eng. 48, 301–316 (2012)CrossRef Laukkanen, T., Tveit, T.-M., Ojalehto, V., Miettinen, K., Fogelholm, C.-J.: Bilevel heat exchanger network synthesis with an interactive multi-objective optimization method. Appl. Therm. Eng. 48, 301–316 (2012)CrossRef
119.
Zurück zum Zitat Lazimy, R.: Interactive relaxation method for a broad class of integer and continuous nonlinear multiple criteria problems. J. Math. Anal. Appl. 116, 553–573 (1986)CrossRef Lazimy, R.: Interactive relaxation method for a broad class of integer and continuous nonlinear multiple criteria problems. J. Math. Anal. Appl. 116, 553–573 (1986)CrossRef
120.
Zurück zum Zitat Lazimy, R.: Solving multiple criteria problems by interactive decomposition. Math. Program. 35, 334–361 (1986)CrossRef Lazimy, R.: Solving multiple criteria problems by interactive decomposition. Math. Program. 35, 334–361 (1986)CrossRef
121.
Zurück zum Zitat Lazimy, R.: Interactive polyhedral outer approximation (IPOA) strategy for general multiobjective optimization problems. Ann. Oper. Res. 210, 73–99 (2012)CrossRef Lazimy, R.: Interactive polyhedral outer approximation (IPOA) strategy for general multiobjective optimization problems. Ann. Oper. Res. 210, 73–99 (2012)CrossRef
122.
Zurück zum Zitat Lieberman, E.R.: Soviet multi-objective mathematical programming methods: an overview. Manag. Sci. 37, 1147–1165 (1991)CrossRef Lieberman, E.R.: Soviet multi-objective mathematical programming methods: an overview. Manag. Sci. 37, 1147–1165 (1991)CrossRef
123.
Zurück zum Zitat Loganathan, G.V., Sherali, H.D.: A convergent interactive cutting-plane algorithm for multiobjective optimization. Oper. Res. 35, 365–377 (1987)CrossRef Loganathan, G.V., Sherali, H.D.: A convergent interactive cutting-plane algorithm for multiobjective optimization. Oper. Res. 35, 365–377 (1987)CrossRef
124.
Zurück zum Zitat Lotov, A.V.: Computer-based support for planning and negotiation on environmental rehabilitation of water resource systems. In: Loucks, D.P. (ed.) Restoration of Degraded Rivers: Challenges, Issues and Experiences, pp. 417–445. Kluwer, Boston (1998)CrossRef Lotov, A.V.: Computer-based support for planning and negotiation on environmental rehabilitation of water resource systems. In: Loucks, D.P. (ed.) Restoration of Degraded Rivers: Challenges, Issues and Experiences, pp. 417–445. Kluwer, Boston (1998)CrossRef
125.
Zurück zum Zitat Lotov, A.V., Bushenkov, V.A., Chernykh, O.L.: Multicriteria DSS for river water-quality planning. Microcomput. Civil Eng. 12, 57–67 (1997)CrossRef Lotov, A.V., Bushenkov, V.A., Chernykh, O.L.: Multicriteria DSS for river water-quality planning. Microcomput. Civil Eng. 12, 57–67 (1997)CrossRef
126.
Zurück zum Zitat Lotov, A.V., Bushenkov, V.A., Kamenev, G.K.: Interactive Decision Maps: Approximation and Visualization of Pareto Frontier. Kluwer, Norwell (2004)CrossRef Lotov, A.V., Bushenkov, V.A., Kamenev, G.K.: Interactive Decision Maps: Approximation and Visualization of Pareto Frontier. Kluwer, Norwell (2004)CrossRef
127.
Zurück zum Zitat Luque, M., Miettinen, K., Eskelinen, P., Ruiz, F.: Incorporating preference information in interactive reference point methods for multiobjective optimization. Omega 37, 450–462 (2009)CrossRef Luque, M., Miettinen, K., Eskelinen, P., Ruiz, F.: Incorporating preference information in interactive reference point methods for multiobjective optimization. Omega 37, 450–462 (2009)CrossRef
128.
Zurück zum Zitat Luque, M., Ruiz, F., Steuer, R.E.: Modified interactive Chebyshev algorithm (MICA) for convex multiobjective programming. Eur. J. Oper. Res. 204, 557–564 (2010)CrossRef Luque, M., Ruiz, F., Steuer, R.E.: Modified interactive Chebyshev algorithm (MICA) for convex multiobjective programming. Eur. J. Oper. Res. 204, 557–564 (2010)CrossRef
129.
Zurück zum Zitat Luque, M., Ruiz, F., Miettinen, K.: Global formulation for interactive multiobjective optimization. OR Spectr. 33, 27–48 (2011)CrossRef Luque, M., Ruiz, F., Miettinen, K.: Global formulation for interactive multiobjective optimization. OR Spectr. 33, 27–48 (2011)CrossRef
130.
Zurück zum Zitat Mackin, P., Roy, A., Wallenius, J.: An interactive weight space reduction procedure for nonlinear multiple objective mathematical programming. Math. Program. 127, 425–444 (2011)CrossRef Mackin, P., Roy, A., Wallenius, J.: An interactive weight space reduction procedure for nonlinear multiple objective mathematical programming. Math. Program. 127, 425–444 (2011)CrossRef
131.
Zurück zum Zitat Malakooti, B., Raman, V.: An interactive multi-objective artificial neural network approach for machine setup optimization. J. Intell. Manuf. 11, 41–50 (2000)CrossRef Malakooti, B., Raman, V.: An interactive multi-objective artificial neural network approach for machine setup optimization. J. Intell. Manuf. 11, 41–50 (2000)CrossRef
132.
Zurück zum Zitat Marler, R.T., Arora, J.S.: Survey of multi-objective optimization methods for engineering. Struct. Multidiscip. Optim. 26, 369–395 (2004)CrossRef Marler, R.T., Arora, J.S.: Survey of multi-objective optimization methods for engineering. Struct. Multidiscip. Optim. 26, 369–395 (2004)CrossRef
133.
Zurück zum Zitat Masud, A.S.M., Hwang, C.L.: Interactive sequential goal programming. J. Oper. Res. Soc. 32, 391–400 (1981)CrossRef Masud, A.S.M., Hwang, C.L.: Interactive sequential goal programming. J. Oper. Res. Soc. 32, 391–400 (1981)CrossRef
134.
Zurück zum Zitat Masud, A.S.M., Zheng, X.: An algorithm for multiple-objective non-linear programming. J. Oper. Res. Soc. 40, 895–906 (1989)CrossRef Masud, A.S.M., Zheng, X.: An algorithm for multiple-objective non-linear programming. J. Oper. Res. Soc. 40, 895–906 (1989)CrossRef
135.
Zurück zum Zitat Meng, Z., Shen, R., Jiang, M.: An objective penalty functions algorithm for multiobjective optimization problem. Am. J. Oper. Res. 1, 229–235 (2011)CrossRef Meng, Z., Shen, R., Jiang, M.: An objective penalty functions algorithm for multiobjective optimization problem. Am. J. Oper. Res. 1, 229–235 (2011)CrossRef
136.
Zurück zum Zitat Messac, A.: Physical programming: effective optimization for computational design. AIAA J. 34, 149–158 (1996)CrossRef Messac, A.: Physical programming: effective optimization for computational design. AIAA J. 34, 149–158 (1996)CrossRef
137.
Zurück zum Zitat Michalowski, W.: Evaluation of a multiple criteria interactive programming approach: an experiment. INFOR Inf. Syst. Oper. Res. 25, 165–173 (1987) Michalowski, W.: Evaluation of a multiple criteria interactive programming approach: an experiment. INFOR Inf. Syst. Oper. Res. 25, 165–173 (1987)
138.
Zurück zum Zitat Michalowski, W., Szapiro, T.: A bi-reference procedure for interactive multiple criteria programming. Oper. Res. 40, 247–258 (1992)CrossRef Michalowski, W., Szapiro, T.: A bi-reference procedure for interactive multiple criteria programming. Oper. Res. 40, 247–258 (1992)CrossRef
139.
Zurück zum Zitat Miettinen, K.: Nonlinear Multiobjective Optimization. Kluwer, Boston (1999) Miettinen, K.: Nonlinear Multiobjective Optimization. Kluwer, Boston (1999)
140.
Zurück zum Zitat Miettinen, K.: IND-NIMBUS for demanding interactive multiobjective optimization. In: Trzaskalik, T. (ed.) Multiple Criteria Decision Making ‘05, pp. 137–150. The Karol Adamiecki University of Economics in Katowice, Katowice (2006) Miettinen, K.: IND-NIMBUS for demanding interactive multiobjective optimization. In: Trzaskalik, T. (ed.) Multiple Criteria Decision Making ‘05, pp. 137–150. The Karol Adamiecki University of Economics in Katowice, Katowice (2006)
141.
Zurück zum Zitat Miettinen, K.: Using interactive multiobjective optimization in continuous casting of steel. Mater. Manuf. Process. 22, 585–593 (2007)CrossRef Miettinen, K.: Using interactive multiobjective optimization in continuous casting of steel. Mater. Manuf. Process. 22, 585–593 (2007)CrossRef
142.
Zurück zum Zitat Miettinen, K.: Survey of methods to visualize alternatives in multiple criteria decision making problems. OR Spectr. 36, 3–37 (2014)CrossRef Miettinen, K.: Survey of methods to visualize alternatives in multiple criteria decision making problems. OR Spectr. 36, 3–37 (2014)CrossRef
143.
Zurück zum Zitat Miettinen, K., Mäkelä, M.M.: An interactive method for nonsmooth multiobjective optimization with an application to optimal control. Optim. Methods Softw. 2, 31–44 (1993)CrossRef Miettinen, K., Mäkelä, M.M.: An interactive method for nonsmooth multiobjective optimization with an application to optimal control. Optim. Methods Softw. 2, 31–44 (1993)CrossRef
144.
Zurück zum Zitat Miettinen, K., Mäkelä, M.M.: A nondifferentiable multiple criteria optimization method applied to continuous casting process. In: Fasano, A., Primicerio, M. (eds.) Proceedings of the Seventh European Conference on Mathematics in Industry, pp. 255–262. B. G. Teubner, Stuttgart (1994) Miettinen, K., Mäkelä, M.M.: A nondifferentiable multiple criteria optimization method applied to continuous casting process. In: Fasano, A., Primicerio, M. (eds.) Proceedings of the Seventh European Conference on Mathematics in Industry, pp. 255–262. B. G. Teubner, Stuttgart (1994)
145.
Zurück zum Zitat Miettinen, K., Mäkelä, M.M.: Interactive bundle-based method for nondifferentiable multiobjective optimization: NIMBUS. Optimization 34, 231–246 (1995)CrossRef Miettinen, K., Mäkelä, M.M.: Interactive bundle-based method for nondifferentiable multiobjective optimization: NIMBUS. Optimization 34, 231–246 (1995)CrossRef
146.
Zurück zum Zitat Miettinen, K., Mäkelä, M.M.: Interactive method NIMBUS for nondifferentiable multiobjective optimization problems. In: Clímaco, J. (ed.) Multicriteria Analysis, pp. 310–319. Springer, Berlin, Heidelberg (1997)CrossRef Miettinen, K., Mäkelä, M.M.: Interactive method NIMBUS for nondifferentiable multiobjective optimization problems. In: Clímaco, J. (ed.) Multicriteria Analysis, pp. 310–319. Springer, Berlin, Heidelberg (1997)CrossRef
147.
Zurück zum Zitat Miettinen, K., Mäkelä, M.M.: Interactive MCDM support system in the Internet. In: Stewart, T., van den Honert, R. (eds.) Trends in Multicriteria Decision Making: Proceedings of the 13th International Conference on Multiple Criteria Decision Making, pp. 419–428. Springer, Berlin, Heidelberg(1998) Miettinen, K., Mäkelä, M.M.: Interactive MCDM support system in the Internet. In: Stewart, T., van den Honert, R. (eds.) Trends in Multicriteria Decision Making: Proceedings of the 13th International Conference on Multiple Criteria Decision Making, pp. 419–428. Springer, Berlin, Heidelberg(1998)
148.
Zurück zum Zitat Miettinen, K., Mäkelä, M.M.: Comparative evaluation of some interactive reference point-based methods for multi-objective optimisation. J. Oper. Res. Soc. 50, 949–959 (1999)CrossRef Miettinen, K., Mäkelä, M.M.: Comparative evaluation of some interactive reference point-based methods for multi-objective optimisation. J. Oper. Res. Soc. 50, 949–959 (1999)CrossRef
149.
Zurück zum Zitat Miettinen, K., Mäkelä, M.M.: Interactive multiobjective optimization system WWW-NIMBUS on the Internet. Comput. Oper. Res. 27, 709–723 (2000)CrossRef Miettinen, K., Mäkelä, M.M.: Interactive multiobjective optimization system WWW-NIMBUS on the Internet. Comput. Oper. Res. 27, 709–723 (2000)CrossRef
150.
Zurück zum Zitat Miettinen, K., Mäkelä, M.M.: On scalarizing functions in multiobjective optimization. OR Spectr. 24, 193–213 (2002)CrossRef Miettinen, K., Mäkelä, M.M.: On scalarizing functions in multiobjective optimization. OR Spectr. 24, 193–213 (2002)CrossRef
151.
Zurück zum Zitat Miettinen, K., Mäkelä, M.M.: Synchronous approach in interactive multiobjective optimization. Eur. J. Oper. Res. 170, 909–922 (2006)CrossRef Miettinen, K., Mäkelä, M.M.: Synchronous approach in interactive multiobjective optimization. Eur. J. Oper. Res. 170, 909–922 (2006)CrossRef
152.
Zurück zum Zitat Miettinen, K., Mäkelä, M.M., Männikkö, T.: Optimal control of continuous casting by nondifferentiable multiobjective optimization. Comput. Optim. Appl. 11, 177–194 (1998)CrossRef Miettinen, K., Mäkelä, M.M., Männikkö, T.: Optimal control of continuous casting by nondifferentiable multiobjective optimization. Comput. Optim. Appl. 11, 177–194 (1998)CrossRef
153.
Zurück zum Zitat Miettinen, K., Lotov, A.V., Kamenev, G.K., Berezkin, V.E.: Integration of two multiobjective optimization methods for nonlinear problems. Optim. Methods Softw. 18, 63–80 (2003)CrossRef Miettinen, K., Lotov, A.V., Kamenev, G.K., Berezkin, V.E.: Integration of two multiobjective optimization methods for nonlinear problems. Optim. Methods Softw. 18, 63–80 (2003)CrossRef
154.
Zurück zum Zitat Miettinen, K., Mäkelä, M.M., Kaario, K.: Experiments with classification-based scalarizing functions in interactive multiobjective optimization. Eur. J. Oper. Res. 175, 931–947 (2006)CrossRef Miettinen, K., Mäkelä, M.M., Kaario, K.: Experiments with classification-based scalarizing functions in interactive multiobjective optimization. Eur. J. Oper. Res. 175, 931–947 (2006)CrossRef
155.
Zurück zum Zitat Miettinen, K., Ruiz, F., Wierzbicki, A.P.: Introduction to multiobjective optimization: interactive approaches. In: Branke, J., Deb, K., Miettinen, K., Slowinski, R. (eds.) Multiobjective Optimization: Interactive and Evolutionary Approaches, pp. 27–57. Springer, Berlin, Heidelberg (2008)CrossRef Miettinen, K., Ruiz, F., Wierzbicki, A.P.: Introduction to multiobjective optimization: interactive approaches. In: Branke, J., Deb, K., Miettinen, K., Slowinski, R. (eds.) Multiobjective Optimization: Interactive and Evolutionary Approaches, pp. 27–57. Springer, Berlin, Heidelberg (2008)CrossRef
156.
Zurück zum Zitat Miettinen, K., Eskelinen, P., Ruiz, F., Luque, M.: NAUTILUS method: an interactive technique in multiobjective optimization based on the nadir point. Eur. J. Oper. Res. 206, 426–434 (2010)CrossRef Miettinen, K., Eskelinen, P., Ruiz, F., Luque, M.: NAUTILUS method: an interactive technique in multiobjective optimization based on the nadir point. Eur. J. Oper. Res. 206, 426–434 (2010)CrossRef
157.
Zurück zum Zitat Miettinen, K., Mustajoki, J., Stewart, T.J.: Interactive multiobjective optimization with NIMBUS for decision making under uncertainty. OR Spectr. 36, 39–56 (2014)CrossRef Miettinen, K., Mustajoki, J., Stewart, T.J.: Interactive multiobjective optimization with NIMBUS for decision making under uncertainty. OR Spectr. 36, 39–56 (2014)CrossRef
158.
Zurück zum Zitat Mitani, K., Nakayama, H.: A multiobjective diet planning support system using the satisficing trade-off method. J. Multi-Criteria Decis. Anal. 6, 131–139 (1997)CrossRef Mitani, K., Nakayama, H.: A multiobjective diet planning support system using the satisficing trade-off method. J. Multi-Criteria Decis. Anal. 6, 131–139 (1997)CrossRef
159.
Zurück zum Zitat Mocci, U., Primicerio, L.: Ring network design: an MCDM approach. In: Fandel, G., Gal, T. (eds.) Multiple Criteria Decision Making: Proceedings of the Twelfth International Conference, pp. 491–500. Springer, Berlin, Heidelberg (1997)CrossRef Mocci, U., Primicerio, L.: Ring network design: an MCDM approach. In: Fandel, G., Gal, T. (eds.) Multiple Criteria Decision Making: Proceedings of the Twelfth International Conference, pp. 491–500. Springer, Berlin, Heidelberg (1997)CrossRef
160.
Zurück zum Zitat Mohan, C., Nguyen, H.T.: Reference direction interactive method for solving multiobjective fuzzy programming problems. Eur. J. Oper. Res. 107, 599–613 (1998)CrossRef Mohan, C., Nguyen, H.T.: Reference direction interactive method for solving multiobjective fuzzy programming problems. Eur. J. Oper. Res. 107, 599–613 (1998)CrossRef
161.
Zurück zum Zitat Moldavskiy, M.A.: Singling out a set of undominated solutions in continuous vector optimization problems. Sov. Autom. Control 14, 47–53 (1981) Moldavskiy, M.A.: Singling out a set of undominated solutions in continuous vector optimization problems. Sov. Autom. Control 14, 47–53 (1981)
162.
Zurück zum Zitat Monarchi, D.E., Kisiel, C.C., Duckstein, L.: Interactive multiobjective programming in water resources: a case study. Water Res. Res. 9, 837–850 (1973)CrossRef Monarchi, D.E., Kisiel, C.C., Duckstein, L.: Interactive multiobjective programming in water resources: a case study. Water Res. Res. 9, 837–850 (1973)CrossRef
163.
Zurück zum Zitat Monz, M., Kufer, K.H., Bortfeld, T.R., Thieke, C.: Pareto navigation – algorithmic foundation of interactive multi-criteria IMRT planning. Phys. Med. Biol. 53, 985–998 (2008)CrossRef Monz, M., Kufer, K.H., Bortfeld, T.R., Thieke, C.: Pareto navigation – algorithmic foundation of interactive multi-criteria IMRT planning. Phys. Med. Biol. 53, 985–998 (2008)CrossRef
164.
Zurück zum Zitat Mote, J., Olson, D.L., Venkataramanan, M.A.: A comparative multiobjective programming study. Math. Comput. Model. 10, 719–729 (1988)CrossRef Mote, J., Olson, D.L., Venkataramanan, M.A.: A comparative multiobjective programming study. Math. Comput. Model. 10, 719–729 (1988)CrossRef
165.
Zurück zum Zitat M’silti, A., Tolla, P.: An interactive multiobjective nonlinear programming procedure. Eur. J. Oper. Res. 64, 115–125 (1993)CrossRef M’silti, A., Tolla, P.: An interactive multiobjective nonlinear programming procedure. Eur. J. Oper. Res. 64, 115–125 (1993)CrossRef
166.
Zurück zum Zitat Mukai, H.: Algorithms for multicriterion optimization. IEEE Trans. Autom. Control 25, 177–186 (1980)CrossRef Mukai, H.: Algorithms for multicriterion optimization. IEEE Trans. Autom. Control 25, 177–186 (1980)CrossRef
167.
Zurück zum Zitat Musselman, K., Talavage, J.: A tradeoff cut approach to multiple objective optimization. Oper. Res. 28, 1424–1435 (1980)CrossRef Musselman, K., Talavage, J.: A tradeoff cut approach to multiple objective optimization. Oper. Res. 28, 1424–1435 (1980)CrossRef
168.
Zurück zum Zitat Nakayama, H.: On the components in interactive multiobjective programming methods. In: Grauer, M., Thompson, M., Wierzbicki, A.P. (eds.) Plural Rationality and Interactive Decision Processes, pp. 234–247. Springer, Berlin, Heidelberg (1985)CrossRef Nakayama, H.: On the components in interactive multiobjective programming methods. In: Grauer, M., Thompson, M., Wierzbicki, A.P. (eds.) Plural Rationality and Interactive Decision Processes, pp. 234–247. Springer, Berlin, Heidelberg (1985)CrossRef
169.
Zurück zum Zitat Nakayama, H.: Sensitivity and trade-off analysis in multiobjective programming. In: Lewandowski, A., Stanchev, I. (eds.) Methodology and Software for Interactive Decision Support, pp. 86–93. Springer, Heidelberg (1989)CrossRef Nakayama, H.: Sensitivity and trade-off analysis in multiobjective programming. In: Lewandowski, A., Stanchev, I. (eds.) Methodology and Software for Interactive Decision Support, pp. 86–93. Springer, Heidelberg (1989)CrossRef
170.
Zurück zum Zitat Nakayama, H.: Satisficing trade-off method for problems with multiple linear fractional objectives and its applications. In: Lewandowski, A., Volkovich, V. (eds.) Multiobjective Problems of Mathematical Programming, pp. 42–50. Springer, Heidelberg (1991) Nakayama, H.: Satisficing trade-off method for problems with multiple linear fractional objectives and its applications. In: Lewandowski, A., Volkovich, V. (eds.) Multiobjective Problems of Mathematical Programming, pp. 42–50. Springer, Heidelberg (1991)
171.
Zurück zum Zitat Nakayama, H.: Trade-off analysis based upon parametric optimization. In: Korhonen, P., Lewandowski, A., Wallenius, J. (eds.) Multiple Criteria Decision Support, pp. 42–52. Springer, Heidelberg (1991) Nakayama, H.: Trade-off analysis based upon parametric optimization. In: Korhonen, P., Lewandowski, A., Wallenius, J. (eds.) Multiple Criteria Decision Support, pp. 42–52. Springer, Heidelberg (1991)
172.
Zurück zum Zitat Nakayama, H.: Trade-off analysis using parametric optimization techniques. Eur. J. Oper. Res. 60, 87–98 (1992)CrossRef Nakayama, H.: Trade-off analysis using parametric optimization techniques. Eur. J. Oper. Res. 60, 87–98 (1992)CrossRef
173.
Zurück zum Zitat Nakayama, H.: Engineering applications of multi-objective programming: recent results. In: Tzeng, G.H., Wand, H.F., Wen, U.P., Yu, P.L. (eds.) Multiple Criteria Decision Making – Proceedings of the Tenth International Conference: Expand and Enrich the Domains of Thinking and Application, pp. 369–378. Springer, New York (1994)CrossRef Nakayama, H.: Engineering applications of multi-objective programming: recent results. In: Tzeng, G.H., Wand, H.F., Wen, U.P., Yu, P.L. (eds.) Multiple Criteria Decision Making – Proceedings of the Tenth International Conference: Expand and Enrich the Domains of Thinking and Application, pp. 369–378. Springer, New York (1994)CrossRef
174.
Zurück zum Zitat Nakayama, H.: Aspiration level approach to interactive multi-objective programming and its applications. In: Pardalos, P.M., Siskos, Y., Zopounidis, C. (eds.) Advances in Multicriteria Analysis, pp. 147–174. Kluwer, Dordrecht (1995)CrossRef Nakayama, H.: Aspiration level approach to interactive multi-objective programming and its applications. In: Pardalos, P.M., Siskos, Y., Zopounidis, C. (eds.) Advances in Multicriteria Analysis, pp. 147–174. Kluwer, Dordrecht (1995)CrossRef
175.
Zurück zum Zitat Nakayama, H., Furukawa, K.: Satisficing trade-off method with an application to multiobjective structural design. Large Scale Syst. 8, 47–57 (1985) Nakayama, H., Furukawa, K.: Satisficing trade-off method with an application to multiobjective structural design. Large Scale Syst. 8, 47–57 (1985)
176.
Zurück zum Zitat Nakayama, H., Sawaragi, Y.: Satisficing trade-off method for multiobjective programming. In: Grauer, M., Wierzbicki, A.P. (eds.) Interactive Decision Analysis, pp. 113–122. Springer, Heidelberg (1984)CrossRef Nakayama, H., Sawaragi, Y.: Satisficing trade-off method for multiobjective programming. In: Grauer, M., Wierzbicki, A.P. (eds.) Interactive Decision Analysis, pp. 113–122. Springer, Heidelberg (1984)CrossRef
177.
Zurück zum Zitat Nakayama, H., Tanino, T., Sawaragi, Y.: An interactive optimization method in multicriteria decisionmaking. IEEE Trans. Syst. Man Cybern. 10, 163–169 (1980)CrossRef Nakayama, H., Tanino, T., Sawaragi, Y.: An interactive optimization method in multicriteria decisionmaking. IEEE Trans. Syst. Man Cybern. 10, 163–169 (1980)CrossRef
178.
Zurück zum Zitat Nakayama, H., Nomura, J., Sawada, K., Nakajima, R.: An application of satisficing trade-off method to a blending problem of industrial materials. In: Fandel, G., Grauer, M., Kurzhanski, A., Wierzbicki, A.P. (eds.) Large-Scale Modelling and Interactive Decision Analysis, pp. 303–313. Springer, Heidelberg (1986)CrossRef Nakayama, H., Nomura, J., Sawada, K., Nakajima, R.: An application of satisficing trade-off method to a blending problem of industrial materials. In: Fandel, G., Grauer, M., Kurzhanski, A., Wierzbicki, A.P. (eds.) Large-Scale Modelling and Interactive Decision Analysis, pp. 303–313. Springer, Heidelberg (1986)CrossRef
179.
Zurück zum Zitat Nakayama, H., Kaneshige, K., Takemoto, S., Watada, Y.: An application of a multi-objective programming technique to construction accuracy control of cable-stayed bridges. Eur. J. Oper. Res. 87, 731–738 (1995)CrossRef Nakayama, H., Kaneshige, K., Takemoto, S., Watada, Y.: An application of a multi-objective programming technique to construction accuracy control of cable-stayed bridges. Eur. J. Oper. Res. 87, 731–738 (1995)CrossRef
180.
Zurück zum Zitat Nakayama, H., Kaneshige, K., Takemoto, S., Watada, Y.: A construction accuracy control system of cable stayed bridge using a multi-objective programming technique. In: Fandel, G., Gal, T. (eds.) Multiple Criteria Decision Making: Proceedings of the Twelfth International Conference, pp. 501–509. Springer, Berlin, Heidelberg (1997)CrossRef Nakayama, H., Kaneshige, K., Takemoto, S., Watada, Y.: A construction accuracy control system of cable stayed bridge using a multi-objective programming technique. In: Fandel, G., Gal, T. (eds.) Multiple Criteria Decision Making: Proceedings of the Twelfth International Conference, pp. 501–509. Springer, Berlin, Heidelberg (1997)CrossRef
181.
Zurück zum Zitat Narula, S.C., Weistroffer, H.R.: Algorithms for multi-objective nonlinear programming problems: an overview. In: Lockett, A.G., Islei, G. (eds.) Improving Decision Making in Organisations, pp. 434–443. Springer, Berlin, Heidelberg (1989)CrossRef Narula, S.C., Weistroffer, H.R.: Algorithms for multi-objective nonlinear programming problems: an overview. In: Lockett, A.G., Islei, G. (eds.) Improving Decision Making in Organisations, pp. 434–443. Springer, Berlin, Heidelberg (1989)CrossRef
182.
Zurück zum Zitat Narula, S.C., Weistroffer, H.R.: A flexible method for nonlinear multicriteria decisionmaking problems. IEEE Trans. Syst. Man Cybern. 19, 883–887 (1989)CrossRef Narula, S.C., Weistroffer, H.R.: A flexible method for nonlinear multicriteria decisionmaking problems. IEEE Trans. Syst. Man Cybern. 19, 883–887 (1989)CrossRef
183.
Zurück zum Zitat Narula, S.C., Kirilov, L., Vassilev, V.: An interactive algorithm for solving multiple objective nonlinear programming problems. In: Tzeng, G.H., Wand, H.F., Wen, U.P., Yu, P.L. (eds.) Multiple Criteria Decision Making – Proceedings of the Tenth International Conference: Expand and Enrich the Domains of Thinking and Application, pp. 119–127. Springer, New York (1994)CrossRef Narula, S.C., Kirilov, L., Vassilev, V.: An interactive algorithm for solving multiple objective nonlinear programming problems. In: Tzeng, G.H., Wand, H.F., Wen, U.P., Yu, P.L. (eds.) Multiple Criteria Decision Making – Proceedings of the Tenth International Conference: Expand and Enrich the Domains of Thinking and Application, pp. 119–127. Springer, New York (1994)CrossRef
184.
Zurück zum Zitat Narula, S.C., Kirilov, L., Vassilev, V.: Reference direction approach for solving multiple objective nonlinear programming problems. IEEE Trans. Syst. Man Cybern. 24, 804–806 (1994)CrossRef Narula, S.C., Kirilov, L., Vassilev, V.: Reference direction approach for solving multiple objective nonlinear programming problems. IEEE Trans. Syst. Man Cybern. 24, 804–806 (1994)CrossRef
185.
Zurück zum Zitat Nijkamp, P., Spronk, J.: Interactive multiple goal programming: an evaluation and some results. In: Fandel, G., Gal, T. (eds.) Multiple Criteria Decision Making Theory and Applications, pp. 278–293. Springer, Berlin, Heidelberg (1980)CrossRef Nijkamp, P., Spronk, J.: Interactive multiple goal programming: an evaluation and some results. In: Fandel, G., Gal, T. (eds.) Multiple Criteria Decision Making Theory and Applications, pp. 278–293. Springer, Berlin, Heidelberg (1980)CrossRef
186.
Zurück zum Zitat Ogryczak, W.: Preemptive reference point method. In: Clímaco, J. (ed.) Multicriteria Analysis, pp. 156–167. Springer, Berlin, Heidelberg (1997)CrossRef Ogryczak, W.: Preemptive reference point method. In: Clímaco, J. (ed.) Multicriteria Analysis, pp. 156–167. Springer, Berlin, Heidelberg (1997)CrossRef
187.
Zurück zum Zitat Olbrisch, M.: The interactive reference point approach as a solution concept for econometric decision models. In: Beckmann, M.J., Gaede, K.-W., Ritter, K., Schneeweiss, H. (eds.) X. Symposium on Operations Research, Part 1, Sections 1–5, pp. 611–619. Verlag Anton Hain Meisenheim GmbH, Königstein (1986) Olbrisch, M.: The interactive reference point approach as a solution concept for econometric decision models. In: Beckmann, M.J., Gaede, K.-W., Ritter, K., Schneeweiss, H. (eds.) X. Symposium on Operations Research, Part 1, Sections 1–5, pp. 611–619. Verlag Anton Hain Meisenheim GmbH, Königstein (1986)
188.
Zurück zum Zitat Olson, D.L.: Review of empirical studies in multiobjective mathematical programming: subject reflection of nonlinear utility and learning. Decis. Sci. 23, 1–20 (1992)CrossRef Olson, D.L.: Review of empirical studies in multiobjective mathematical programming: subject reflection of nonlinear utility and learning. Decis. Sci. 23, 1–20 (1992)CrossRef
189.
Zurück zum Zitat Olson, D.L.: Tchebycheff norms in multi-objective linear programming. Math. Comput. Model. 17, 113–124 (1993)CrossRef Olson, D.L.: Tchebycheff norms in multi-objective linear programming. Math. Comput. Model. 17, 113–124 (1993)CrossRef
190.
Zurück zum Zitat Oppenheimer, K.R.: A proxy approach to multi-attribute decision making. Manag. Sci. 24, 675–689 (1978)CrossRef Oppenheimer, K.R.: A proxy approach to multi-attribute decision making. Manag. Sci. 24, 675–689 (1978)CrossRef
191.
Zurück zum Zitat Osyczka, A., Kundu, S.: A new method to solve generalized multicriteria optimization problems using the simple genetic algorithm. Struct. Optim. 10, 94–99 (1995)CrossRef Osyczka, A., Kundu, S.: A new method to solve generalized multicriteria optimization problems using the simple genetic algorithm. Struct. Optim. 10, 94–99 (1995)CrossRef
192.
Zurück zum Zitat Ramesh, R., Karwan, M.H., Zionts, S.: Theory of convex cones in multicriteria decision making. Ann. Oper. Res. 16, 131–147 (1988)CrossRef Ramesh, R., Karwan, M.H., Zionts, S.: Theory of convex cones in multicriteria decision making. Ann. Oper. Res. 16, 131–147 (1988)CrossRef
193.
Zurück zum Zitat Ramesh, R., Karwan, M.H., Zionts, S.: Interactive multicriteria linear programming: an extension of the method of Zionts and Wallenius. Nav. Res. Logist. 36, 321–335 (1989)CrossRef Ramesh, R., Karwan, M.H., Zionts, S.: Interactive multicriteria linear programming: an extension of the method of Zionts and Wallenius. Nav. Res. Logist. 36, 321–335 (1989)CrossRef
194.
Zurück zum Zitat Ramesh, R., Karwan, M.H., Zionts, S.: Preference structure representation using convex cones in multicriteria integer programming. Manag. Sci. 35, 1092–1105 (1989)CrossRef Ramesh, R., Karwan, M.H., Zionts, S.: Preference structure representation using convex cones in multicriteria integer programming. Manag. Sci. 35, 1092–1105 (1989)CrossRef
195.
Zurück zum Zitat Reeves, G.R., Gonzalez, J.J.: A comparison of two interactive MCDM procedures. Eur. J. Oper. Res. 41, 203–209 (1989)CrossRef Reeves, G.R., Gonzalez, J.J.: A comparison of two interactive MCDM procedures. Eur. J. Oper. Res. 41, 203–209 (1989)CrossRef
196.
Zurück zum Zitat Reeves, G.R., MacLeod, K.R.: Robustness of the interactive weighted Tchebycheff procedure to inaccurate preference information. J. Multi-Criteria Decis. Anal. 8, 128–132 (1999)CrossRef Reeves, G.R., MacLeod, K.R.: Robustness of the interactive weighted Tchebycheff procedure to inaccurate preference information. J. Multi-Criteria Decis. Anal. 8, 128–132 (1999)CrossRef
197.
Zurück zum Zitat Rietveld, P.: Multiple Objective Decision Methods and Regional Planning. North-Holland, Amsterdam (1980) Rietveld, P.: Multiple Objective Decision Methods and Regional Planning. North-Holland, Amsterdam (1980)
198.
Zurück zum Zitat Romero, C.: Handbook of Critical Issues in Goal Programming. Pergamon, Oxford (1991) Romero, C.: Handbook of Critical Issues in Goal Programming. Pergamon, Oxford (1991)
199.
Zurück zum Zitat Romero, C.: Extended lexicographic goal programming: a unifying approach. Omega 29, 63–71 (2001)CrossRef Romero, C.: Extended lexicographic goal programming: a unifying approach. Omega 29, 63–71 (2001)CrossRef
200.
Zurück zum Zitat Rosenthal, R.E.: Principles of multiobjective optimization. Decis. Sci. 16, 133–152 (1985)CrossRef Rosenthal, R.E.: Principles of multiobjective optimization. Decis. Sci. 16, 133–152 (1985)CrossRef
201.
Zurück zum Zitat Rosinger, E.E.: Interactive algorithm for multiobjective optimization. J. Optim. Theory Appl. 35, 339–365 (1981). Errata Corrige in J. Optim. Theory Appl. 38, 147–148 (1982) Rosinger, E.E.: Interactive algorithm for multiobjective optimization. J. Optim. Theory Appl. 35, 339–365 (1981). Errata Corrige in J. Optim. Theory Appl. 38, 147–148 (1982)
202.
Zurück zum Zitat Roy, B.: The outranking approach and the foundations of ELECTRE methods. In: Bana e Costa, C.A. (ed.) Readings in Multiple Criteria Decision Aid, pp. 155–183. Springer, Berlin, Heidelberg (1990) Roy, B.: The outranking approach and the foundations of ELECTRE methods. In: Bana e Costa, C.A. (ed.) Readings in Multiple Criteria Decision Aid, pp. 155–183. Springer, Berlin, Heidelberg (1990)
203.
Zurück zum Zitat Roy, A., Mackin, P.: Multicriteria optimization (linear and nonlinear) using proxy value functions. In: Korhonen, P., Lewandowski, A., Wallenius, J. (eds.) Multiple Criteria Decision Support, pp. 128–134. Springer, Heidelberg (1991) Roy, A., Mackin, P.: Multicriteria optimization (linear and nonlinear) using proxy value functions. In: Korhonen, P., Lewandowski, A., Wallenius, J. (eds.) Multiple Criteria Decision Support, pp. 128–134. Springer, Heidelberg (1991)
204.
Zurück zum Zitat Roy, A., Wallenius, J.: Nonlinear multiobjective optimization: an algorithm and some theory. Math. Program. 55, 235–249 (1992)CrossRef Roy, A., Wallenius, J.: Nonlinear multiobjective optimization: an algorithm and some theory. Math. Program. 55, 235–249 (1992)CrossRef
205.
Zurück zum Zitat Ruiz, F., Luque, M., Miettinen, K.: Improving the computational efficiency of a global formulation (GLIDE) for interactive multiobjective optimization. Ann. Oper. Res. 197, 47–70 (2012)CrossRef Ruiz, F., Luque, M., Miettinen, K.: Improving the computational efficiency of a global formulation (GLIDE) for interactive multiobjective optimization. Ann. Oper. Res. 197, 47–70 (2012)CrossRef
206.
Zurück zum Zitat Ruotsalainen, H., Miettinen, K., Palmgren, J.-E., Lahtinen, T.: Interactive multiobjective optimization for anatomy based three-dimensional HDR brachytherapy. Phys. Med. Biol. 55, 4703–4719 (2010)CrossRef Ruotsalainen, H., Miettinen, K., Palmgren, J.-E., Lahtinen, T.: Interactive multiobjective optimization for anatomy based three-dimensional HDR brachytherapy. Phys. Med. Biol. 55, 4703–4719 (2010)CrossRef
207.
Zurück zum Zitat Sadagopan, S., Ravindran, A.: Interactive algorithms for multiple criteria nonlinear programming problems. Eur. J. Oper. Res. 25, 247–257 (1986)CrossRef Sadagopan, S., Ravindran, A.: Interactive algorithms for multiple criteria nonlinear programming problems. Eur. J. Oper. Res. 25, 247–257 (1986)CrossRef
208.
Zurück zum Zitat Sakawa, M.: Interactive multiobjective decision making by the sequential proxy optimization technique: SPOT. Eur. J. Oper. Res. 9, 386–396 (1982)CrossRef Sakawa, M.: Interactive multiobjective decision making by the sequential proxy optimization technique: SPOT. Eur. J. Oper. Res. 9, 386–396 (1982)CrossRef
209.
Zurück zum Zitat Sakawa, M., Yauchi, K.: An interactive fuzzy satisficing method for multiobjective nonconvex programming problems through floating point genetic algorithms. Eur. J. Oper. Res. 117, 113–124 (1999)CrossRef Sakawa, M., Yauchi, K.: An interactive fuzzy satisficing method for multiobjective nonconvex programming problems through floating point genetic algorithms. Eur. J. Oper. Res. 117, 113–124 (1999)CrossRef
210.
Zurück zum Zitat Sawaragi, Y., Nakayama, H., Tanino, T.: Theory of Multiobjective Optimization. Academic, Orlando (1985) Sawaragi, Y., Nakayama, H., Tanino, T.: Theory of Multiobjective Optimization. Academic, Orlando (1985)
211.
Zurück zum Zitat Shin, W.S., Ravindran, A.: Interactive multiple objective optimization: survey I – continuous case. Comput. Oper. Res. 18, 97–114 (1991)CrossRef Shin, W.S., Ravindran, A.: Interactive multiple objective optimization: survey I – continuous case. Comput. Oper. Res. 18, 97–114 (1991)CrossRef
212.
Zurück zum Zitat Silverman, J., Steuer, R.E., Whisman, A.W.: A multi-period, multiple criteria optimization system for manpower planning. Eur. J. Oper. Res. 34, 160–170 (1988)CrossRef Silverman, J., Steuer, R.E., Whisman, A.W.: A multi-period, multiple criteria optimization system for manpower planning. Eur. J. Oper. Res. 34, 160–170 (1988)CrossRef
213.
Zurück zum Zitat Sindhya, K., Ruiz, A.B., Miettinen, K.: A preference based interactive evolutionary algorithm for multiobjective optimization: PIE. In: Takahashi, R.H.C., Deb, K., Wanner, E.F., Greco, S. (eds.) Evolutionary Multi-Criterion Optimization: 6th International Conference, Proceedings, pp. 212–225. Springer, Berlin, Heidelberg (2011)CrossRef Sindhya, K., Ruiz, A.B., Miettinen, K.: A preference based interactive evolutionary algorithm for multiobjective optimization: PIE. In: Takahashi, R.H.C., Deb, K., Wanner, E.F., Greco, S. (eds.) Evolutionary Multi-Criterion Optimization: 6th International Conference, Proceedings, pp. 212–225. Springer, Berlin, Heidelberg (2011)CrossRef
214.
Zurück zum Zitat Sindhya, K., Ojalehto, V., Savolainen, J., Niemistö, H., Hakanen, J., Miettinen, K.: Coupling dynamic simulation and interactive multiobjective optimization for complex problems: an APROS-NIMBUS case study. Expert Syst. Appl. 41, 2546–2558 (2014)CrossRef Sindhya, K., Ojalehto, V., Savolainen, J., Niemistö, H., Hakanen, J., Miettinen, K.: Coupling dynamic simulation and interactive multiobjective optimization for complex problems: an APROS-NIMBUS case study. Expert Syst. Appl. 41, 2546–2558 (2014)CrossRef
215.
Zurück zum Zitat Skulimowski, A.M.J.: Decision Support Systems Based on Reference Sets. Wydawnictwa AGH, Kraków (1996) Skulimowski, A.M.J.: Decision Support Systems Based on Reference Sets. Wydawnictwa AGH, Kraków (1996)
216.
Zurück zum Zitat Slowinski, R.: Interactive multiobjective optimization based on ordinal regression. In: Lewandowski, A., Volkovich, V. (eds.) Multiobjective Problems of Mathematical Programming, pp. 93–100. Springer, Heidelberg (1991) Slowinski, R.: Interactive multiobjective optimization based on ordinal regression. In: Lewandowski, A., Volkovich, V. (eds.) Multiobjective Problems of Mathematical Programming, pp. 93–100. Springer, Heidelberg (1991)
217.
Zurück zum Zitat Song, A., Cheng, W.-M.: A method for multihuman and multi-criteria decision making. In: Sydow, A., Tzafestas, S.G., Vichnevetsky, R. (eds.) Systems Analysis and Simulation 1988 I: Theory and Foundations, pp. 213–216. Akademie, Berlin (1988)CrossRef Song, A., Cheng, W.-M.: A method for multihuman and multi-criteria decision making. In: Sydow, A., Tzafestas, S.G., Vichnevetsky, R. (eds.) Systems Analysis and Simulation 1988 I: Theory and Foundations, pp. 213–216. Akademie, Berlin (1988)CrossRef
218.
Zurück zum Zitat Spronk, J.: Interactive multifactorial planning: state of the art. In: Bana e Costa, C.A. (ed.) Readings in Multiple Criteria Decision Aid, pp. 512–534. Springer, Berlin, Heidelberg (1990) Spronk, J.: Interactive multifactorial planning: state of the art. In: Bana e Costa, C.A. (ed.) Readings in Multiple Criteria Decision Aid, pp. 512–534. Springer, Berlin, Heidelberg (1990)
219.
Zurück zum Zitat Stam, A., Kuula, M., Cesar, H.: Transboundary air pollution in Europe: an interactive multicriteria tradeoff analysis. Eur. J. Oper. Res. 56, 263–277 (1992)CrossRef Stam, A., Kuula, M., Cesar, H.: Transboundary air pollution in Europe: an interactive multicriteria tradeoff analysis. Eur. J. Oper. Res. 56, 263–277 (1992)CrossRef
220.
Zurück zum Zitat Statnikov, R.B.: Multicriteria Design: Optimization and Identification. Kluwer, Dordrecht (1999)CrossRef Statnikov, R.B.: Multicriteria Design: Optimization and Identification. Kluwer, Dordrecht (1999)CrossRef
221.
Zurück zum Zitat Statnikov, R.B., Matusov, J.: Use of p τ -nets for the approximation of the Edgeworth-Pareto set in multicriteria optimization. J. Optim. Theory Appl. 91, 543–560 (1996)CrossRef Statnikov, R.B., Matusov, J.: Use of p τ -nets for the approximation of the Edgeworth-Pareto set in multicriteria optimization. J. Optim. Theory Appl. 91, 543–560 (1996)CrossRef
222.
Zurück zum Zitat Steponavice, I., Ruuska, S., Miettinen, K.: A solution process for simulation-based multiobjective design optimization with an application in paper industry. Comput. Aided Des. 47, 45–58 (2014)CrossRef Steponavice, I., Ruuska, S., Miettinen, K.: A solution process for simulation-based multiobjective design optimization with an application in paper industry. Comput. Aided Des. 47, 45–58 (2014)CrossRef
223.
Zurück zum Zitat Steuer, R.E.: Multiple Criteria Optimization: Theory, Computation, and Applications. Wiley, New York (1986) Steuer, R.E.: Multiple Criteria Optimization: Theory, Computation, and Applications. Wiley, New York (1986)
224.
Zurück zum Zitat Steuer, R.E.: The Tchebycheff procedure of interactive multiple objective programming. In: Karpak, B., Zionts, S. (eds.) Multiple Criteria Decision Making and Risk Analysis Using Microcomputers, pp. 235–249. Springer, Berlin, Heidelberg (1989)CrossRef Steuer, R.E.: The Tchebycheff procedure of interactive multiple objective programming. In: Karpak, B., Zionts, S. (eds.) Multiple Criteria Decision Making and Risk Analysis Using Microcomputers, pp. 235–249. Springer, Berlin, Heidelberg (1989)CrossRef
225.
Zurück zum Zitat Steuer, R.E.: Implementing the Tchebycheff method in a spreadsheet. In: Karwan, M.H., Spronk, J., Wallenius, J. (eds.) Essays in Decision Making: A Volume in Honour of Stanley Zionts, pp. 93–103. Springer, Berlin, Heidelberg (1997)CrossRef Steuer, R.E.: Implementing the Tchebycheff method in a spreadsheet. In: Karwan, M.H., Spronk, J., Wallenius, J. (eds.) Essays in Decision Making: A Volume in Honour of Stanley Zionts, pp. 93–103. Springer, Berlin, Heidelberg (1997)CrossRef
226.
Zurück zum Zitat Steuer, R.E., Choo, E.-U.: An interactive weighted Tchebycheff procedure for multiple objective programming. Math. Program. 26, 326–344 (1983)CrossRef Steuer, R.E., Choo, E.-U.: An interactive weighted Tchebycheff procedure for multiple objective programming. Math. Program. 26, 326–344 (1983)CrossRef
227.
Zurück zum Zitat Steuer, R.E., Gardiner, L.R.: Interactive multiple objective programming: concepts, current status, and future directions. In: Bana e Costa, C.A. (ed.) Readings in Multiple Criteria Decision Aid, pp. 413–444. Springer, Berlin, Heidelberg, (1990) Steuer, R.E., Gardiner, L.R.: Interactive multiple objective programming: concepts, current status, and future directions. In: Bana e Costa, C.A. (ed.) Readings in Multiple Criteria Decision Aid, pp. 413–444. Springer, Berlin, Heidelberg, (1990)
228.
Zurück zum Zitat Steuer, R.E., Gardiner, L.R.: On the computational testing of procedures for interactive multiple objective linear programming. In: Fandel, G., Gehring, H. (eds.) Operations Research, pp. 121–131. Springer, Berlin, Heidelberg (1991)CrossRef Steuer, R.E., Gardiner, L.R.: On the computational testing of procedures for interactive multiple objective linear programming. In: Fandel, G., Gehring, H. (eds.) Operations Research, pp. 121–131. Springer, Berlin, Heidelberg (1991)CrossRef
229.
Zurück zum Zitat Steuer, R.E., Sun, M.: The parameter space investigation method of multiple objective nonlinear programming: a computational investigation. Oper. Res. 43, 641–648 (1995)CrossRef Steuer, R.E., Sun, M.: The parameter space investigation method of multiple objective nonlinear programming: a computational investigation. Oper. Res. 43, 641–648 (1995)CrossRef
230.
Zurück zum Zitat Steuer, R.E., Whisman, A.W.: Toward the consolidation of interactive multiple objective programming procedures. In: Fandel, G., Grauer, M., Kurzhanski, A., Wierzbicki, A.P. (eds.) Large-Scale Modelling and Interactive Decision Analysis, pp. 232–241. Springer, Heidelberg (1986)CrossRef Steuer, R.E., Whisman, A.W.: Toward the consolidation of interactive multiple objective programming procedures. In: Fandel, G., Grauer, M., Kurzhanski, A., Wierzbicki, A.P. (eds.) Large-Scale Modelling and Interactive Decision Analysis, pp. 232–241. Springer, Heidelberg (1986)CrossRef
231.
Zurück zum Zitat Steuer, R.E., Silverman, J., Whisman, A.W.: A combined Tchebycheff/aspiration criterion vector interactive multiobjective programming procedure. Manag. Sci. 39, 1255–1260 (1993)CrossRef Steuer, R.E., Silverman, J., Whisman, A.W.: A combined Tchebycheff/aspiration criterion vector interactive multiobjective programming procedure. Manag. Sci. 39, 1255–1260 (1993)CrossRef
232.
Zurück zum Zitat Stewart, T.J.: A critical survey on the status of multiple criteria decision making theory and practice. Omega 20, 569–586 (1992)CrossRef Stewart, T.J.: A critical survey on the status of multiple criteria decision making theory and practice. Omega 20, 569–586 (1992)CrossRef
233.
Zurück zum Zitat Sun, M., Stam, A., Steuer, R.E.: Solving multiple objective programming problems using feed-forward artificial neural networks: the interactive FFANN procedure. Manag. Sci. 42, 835–849 (1996)CrossRef Sun, M., Stam, A., Steuer, R.E.: Solving multiple objective programming problems using feed-forward artificial neural networks: the interactive FFANN procedure. Manag. Sci. 42, 835–849 (1996)CrossRef
234.
Zurück zum Zitat Sun, M., Stam, A., Steuer, R.E.: Interactive multiple objective programming using Tchebycheff programs and artificial neural networks. Comput. Oper. Res. 27, 601–620 (2000)CrossRef Sun, M., Stam, A., Steuer, R.E.: Interactive multiple objective programming using Tchebycheff programs and artificial neural networks. Comput. Oper. Res. 27, 601–620 (2000)CrossRef
235.
Zurück zum Zitat Sunaga, T., Mazeed, M.A., Kondo, E.: A penalty function formulation for interactive multiobjective programming problems. In: Iri, M., Yajima, K. (eds.) System Modelling and Optimization, pp. 221–230. Springer, Heidelberg (1988)CrossRef Sunaga, T., Mazeed, M.A., Kondo, E.: A penalty function formulation for interactive multiobjective programming problems. In: Iri, M., Yajima, K. (eds.) System Modelling and Optimization, pp. 221–230. Springer, Heidelberg (1988)CrossRef
236.
Zurück zum Zitat Tabucanon, M.T.: Multiple Criteria Decision Making in Industry. Elsevier, Amsterdam (1988) Tabucanon, M.T.: Multiple Criteria Decision Making in Industry. Elsevier, Amsterdam (1988)
237.
Zurück zum Zitat Tamiz, M., Jones, D.F.: A general interactive goal programming algorithm. In: Fandel, G., Gal, T. (eds.) Multiple Criteria Decision Making: Proceedings of the Twelfth International Conference, pp. 433–444. Springer, Berlin, Heidelberg (1997)CrossRef Tamiz, M., Jones, D.F.: A general interactive goal programming algorithm. In: Fandel, G., Gal, T. (eds.) Multiple Criteria Decision Making: Proceedings of the Twelfth International Conference, pp. 433–444. Springer, Berlin, Heidelberg (1997)CrossRef
238.
Zurück zum Zitat Tapia, C.G., Murtagh, B.A.: The use of preference criteria in interactive multiobjective mathematical programming. Asia Pac. J. Oper. Res. 6, 131–147 (1989) Tapia, C.G., Murtagh, B.A.: The use of preference criteria in interactive multiobjective mathematical programming. Asia Pac. J. Oper. Res. 6, 131–147 (1989)
239.
Zurück zum Zitat Tapia, C.G., Murtagh, B.A.: A Markovian process in interactive multiobjective decision-making. Eur. J. Oper. Res. 57, 421–428 (1992)CrossRef Tapia, C.G., Murtagh, B.A.: A Markovian process in interactive multiobjective decision-making. Eur. J. Oper. Res. 57, 421–428 (1992)CrossRef
240.
Zurück zum Zitat Tappeta, R.V., Renaud, J.E., Messac, A., Sundararaj, G.J.: Interactive physical programming: tradeoff analysis and decision making in multidisciplinary optimization. AIAA J. 38, 917–926 (2000)CrossRef Tappeta, R.V., Renaud, J.E., Messac, A., Sundararaj, G.J.: Interactive physical programming: tradeoff analysis and decision making in multidisciplinary optimization. AIAA J. 38, 917–926 (2000)CrossRef
241.
Zurück zum Zitat Tarkkanen, S., Miettinen, K., Hakanen, J., Isomäki, H.: Incremental user-interface development for interactive multiobjective optimization. Expert Syst. Appl. 40, 3220–3232 (2013)CrossRef Tarkkanen, S., Miettinen, K., Hakanen, J., Isomäki, H.: Incremental user-interface development for interactive multiobjective optimization. Expert Syst. Appl. 40, 3220–3232 (2013)CrossRef
242.
Zurück zum Zitat Tarvainen, K.: On the implementation of the interactive surrogate worth trade-off (ISWT) method. In: Grauer, M., Wierzbicki, A.P. (eds.) Interactive Decision Analysis, pp. 154–161. Springer, Berlin, Heidelberg (1984)CrossRef Tarvainen, K.: On the implementation of the interactive surrogate worth trade-off (ISWT) method. In: Grauer, M., Wierzbicki, A.P. (eds.) Interactive Decision Analysis, pp. 154–161. Springer, Berlin, Heidelberg (1984)CrossRef
243.
Zurück zum Zitat Tecle, A., Duckstein, L.: A procedure for selecting MCDM techniques for forest resources management. In: Goicoechea, A., Duckstein, L., Zionts, S. (eds.) Multiple Criteria Decision Making: Proceedings of the Ninth International Conference: Theory and Applications in Business, Industry, and Government, pp. 19–32. Springer, New York (1992) Tecle, A., Duckstein, L.: A procedure for selecting MCDM techniques for forest resources management. In: Goicoechea, A., Duckstein, L., Zionts, S. (eds.) Multiple Criteria Decision Making: Proceedings of the Ninth International Conference: Theory and Applications in Business, Industry, and Government, pp. 19–32. Springer, New York (1992)
244.
Zurück zum Zitat Teghem J. Jr., Delhaye, C., Kunsch, P.L.: An interactive decision support system (IDSS) for multicriteria decision aid. Math. Comput. Model. 12, 1311–1320 (1989)CrossRef Teghem J. Jr., Delhaye, C., Kunsch, P.L.: An interactive decision support system (IDSS) for multicriteria decision aid. Math. Comput. Model. 12, 1311–1320 (1989)CrossRef
245.
Zurück zum Zitat Udink ten Cate, A.: On the determination of the optimal temperature for the growth of an early cucumber crop in a greenhouse. In: Grauer, M., Thompson, M., Wierzbicki, A.P. (eds.) Plural Rationality and Interactive Decision Processes, pp. 311–318. Springer, Berlin, Heidelberg (1985)CrossRef Udink ten Cate, A.: On the determination of the optimal temperature for the growth of an early cucumber crop in a greenhouse. In: Grauer, M., Thompson, M., Wierzbicki, A.P. (eds.) Plural Rationality and Interactive Decision Processes, pp. 311–318. Springer, Berlin, Heidelberg (1985)CrossRef
246.
Zurück zum Zitat Vanderpooten, D.: Multiobjective programming: basic concepts and approaches. In: Slowinski, R., Teghem, J. (eds.) Stochastic Versus Fuzzy Approaches to Multiobjective Mathematical Programming under Uncertainty, pp. 7–22. Kluwer, Dordrecht (1990)CrossRef Vanderpooten, D.: Multiobjective programming: basic concepts and approaches. In: Slowinski, R., Teghem, J. (eds.) Stochastic Versus Fuzzy Approaches to Multiobjective Mathematical Programming under Uncertainty, pp. 7–22. Kluwer, Dordrecht (1990)CrossRef
247.
Zurück zum Zitat Vanderpooten, D., Vincke, P.: Description and analysis of some representative interactive multicriteria procedures. Math. Comput. Model. 12, 1221–1238 (1989)CrossRef Vanderpooten, D., Vincke, P.: Description and analysis of some representative interactive multicriteria procedures. Math. Comput. Model. 12, 1221–1238 (1989)CrossRef
248.
Zurück zum Zitat Vetschera, R.: Feedback-oriented group decision support in a reference point framework. In: Lewandowski, A., Volkovich, V. (eds.) Multiobjective Problems of Mathematical Programming, pp. 309–314. Springer, Heidelberg (1991) Vetschera, R.: Feedback-oriented group decision support in a reference point framework. In: Lewandowski, A., Volkovich, V. (eds.) Multiobjective Problems of Mathematical Programming, pp. 309–314. Springer, Heidelberg (1991)
249.
Zurück zum Zitat Vetschera, R.: A note on scalarizing functions under changing sets of criteria. Eur. J. Oper. Res. 52, 113–118 (1991)CrossRef Vetschera, R.: A note on scalarizing functions under changing sets of criteria. Eur. J. Oper. Res. 52, 113–118 (1991)CrossRef
250.
Zurück zum Zitat Vincke, P.: Multicriteria Decision-Aid. Wiley, Chichester (1992) Vincke, P.: Multicriteria Decision-Aid. Wiley, Chichester (1992)
251.
Zurück zum Zitat Wallenius, J.: Comparative evaluation of some interactive approaches to multicriterion optimization. Manag. Sci. 21, 1387–1396 (1975)CrossRef Wallenius, J.: Comparative evaluation of some interactive approaches to multicriterion optimization. Manag. Sci. 21, 1387–1396 (1975)CrossRef
252.
Zurück zum Zitat Wang, S.: Algorithms for multiobjective and nonsmooth optimization. In: Kleinschmidt, P., Radermacher, F.J., Schweitzer, W., Wildermann, H. (eds.) Methods of Operations Research 58, pp. 131–142. Athenäum Verlag, Frankfurt am Main (1989) Wang, S.: Algorithms for multiobjective and nonsmooth optimization. In: Kleinschmidt, P., Radermacher, F.J., Schweitzer, W., Wildermann, H. (eds.) Methods of Operations Research 58, pp. 131–142. Athenäum Verlag, Frankfurt am Main (1989)
253.
Zurück zum Zitat Wang, S.: An interactive method for multicriteria decision making. In: Phua, K.H., Wang, C.M., Yeong, W.Y., Leong, T.Y., Loh, H.T., Tan, K.C., Chou, F.S. (eds.), Optimization: Techniques and Applications. Proceedings of the International Conference (ICOTA), vol. 1, pp. 307–316. World Scientific, Singapore (1992) Wang, S.: An interactive method for multicriteria decision making. In: Phua, K.H., Wang, C.M., Yeong, W.Y., Leong, T.Y., Loh, H.T., Tan, K.C., Chou, F.S. (eds.), Optimization: Techniques and Applications. Proceedings of the International Conference (ICOTA), vol. 1, pp. 307–316. World Scientific, Singapore (1992)
254.
Zurück zum Zitat Weistroffer, H.R.: Multiple criteria decision making with interactive over-achievement programming. Oper. Res. Lett. 1, 241–245 (1982)CrossRef Weistroffer, H.R.: Multiple criteria decision making with interactive over-achievement programming. Oper. Res. Lett. 1, 241–245 (1982)CrossRef
255.
Zurück zum Zitat Weistroffer, H.R.: An interactive goal-programming method for non-linear multiple criteria decision-making problems. Comput. Oper. Res. 10, 311–320 (1983)CrossRef Weistroffer, H.R.: An interactive goal-programming method for non-linear multiple criteria decision-making problems. Comput. Oper. Res. 10, 311–320 (1983)CrossRef
256.
Zurück zum Zitat Weistroffer, H.R.: A combined over- and under-achievement programming approach to multiple objective decision-making. Large Scale Syst. 7, 47–58 (1984) Weistroffer, H.R.: A combined over- and under-achievement programming approach to multiple objective decision-making. Large Scale Syst. 7, 47–58 (1984)
257.
Zurück zum Zitat Weistroffer, H.R.: A flexible model for multi-objective optimization. In: Jahn, J., Krabs, W. (eds.) Recent Advances and Historical Developments of Vector Optimization, pp. 311–316. Springer, Berlin, Heidelberg, (1987)CrossRef Weistroffer, H.R.: A flexible model for multi-objective optimization. In: Jahn, J., Krabs, W. (eds.) Recent Advances and Historical Developments of Vector Optimization, pp. 311–316. Springer, Berlin, Heidelberg, (1987)CrossRef
258.
Zurück zum Zitat Wendell, R.E., Lee, D.N.: Efficiency in multiple objective optimization problems. Math. Program. 12, 406–414 (1977)CrossRef Wendell, R.E., Lee, D.N.: Efficiency in multiple objective optimization problems. Math. Program. 12, 406–414 (1977)CrossRef
259.
Zurück zum Zitat White, D.J.: A selection of multi-objective interactive programming methods. In: French, S., Hartley, R., Thomas, L.C., White, D.J. (eds.) Multi-Objective Decision Making, pp. 99–126. Academic, London (1983) White, D.J.: A selection of multi-objective interactive programming methods. In: French, S., Hartley, R., Thomas, L.C., White, D.J. (eds.) Multi-Objective Decision Making, pp. 99–126. Academic, London (1983)
260.
Zurück zum Zitat Wierzbicki, A.P.: The use of reference objectives in multiobjective optimization. In: Fandel, G., Gal, T. (eds.) Multiple Criteria Decision Making Theory and Applications, pp. 468–486. Springer, Berlin, Heidelberg (1980)CrossRef Wierzbicki, A.P.: The use of reference objectives in multiobjective optimization. In: Fandel, G., Gal, T. (eds.) Multiple Criteria Decision Making Theory and Applications, pp. 468–486. Springer, Berlin, Heidelberg (1980)CrossRef
261.
Zurück zum Zitat Wierzbicki, A.P.: A mathematical basis for satisficing decision making. Math. Model. 3, 391–405 (1982)CrossRef Wierzbicki, A.P.: A mathematical basis for satisficing decision making. Math. Model. 3, 391–405 (1982)CrossRef
262.
Zurück zum Zitat Wierzbicki, A.P.: A methodological approach to comparing parametric characterizations of efficient solutions. In: Fandel, G., Grauer, M., Kurzhanski, A., Wierzbicki, A.P. (eds.) Large-Scale Modelling and Interactive Decision Analysis, pp. 27–45. Springer, Heidelberg (1986)CrossRef Wierzbicki, A.P.: A methodological approach to comparing parametric characterizations of efficient solutions. In: Fandel, G., Grauer, M., Kurzhanski, A., Wierzbicki, A.P. (eds.) Large-Scale Modelling and Interactive Decision Analysis, pp. 27–45. Springer, Heidelberg (1986)CrossRef
263.
Zurück zum Zitat Wierzbicki, A.P.: On the completeness and constructiveness of parametric characterizations to vector optimization problems. OR Spectr. 8, 73–87 (1986)CrossRef Wierzbicki, A.P.: On the completeness and constructiveness of parametric characterizations to vector optimization problems. OR Spectr. 8, 73–87 (1986)CrossRef
264.
Zurück zum Zitat Wierzbicki, A.P.: Convergence of interactive procedures of multiobjective optimization and decision support. In: Karwan, M.H., Spronk, J., Wallenius, J. (eds.) Essays in Decision Making: A Volume in Honour of Stanley Zionts, pp. 19–47. Springer, Berlin, Heidelberg (1997)CrossRef Wierzbicki, A.P.: Convergence of interactive procedures of multiobjective optimization and decision support. In: Karwan, M.H., Spronk, J., Wallenius, J. (eds.) Essays in Decision Making: A Volume in Honour of Stanley Zionts, pp. 19–47. Springer, Berlin, Heidelberg (1997)CrossRef
265.
Zurück zum Zitat Wierzbicki, A.P.: Reference point approaches. In: Gal, T., Stewart, T.J., Hanne, T. (eds.) Multicriteria Decision Making: Advances in MCDM Models, Algorithms, Theory, and Applications, pp. 9-1–9-39. Kluwer, Boston (1999) Wierzbicki, A.P.: Reference point approaches. In: Gal, T., Stewart, T.J., Hanne, T. (eds.) Multicriteria Decision Making: Advances in MCDM Models, Algorithms, Theory, and Applications, pp. 9-1–9-39. Kluwer, Boston (1999)
266.
Zurück zum Zitat Wierzbicki, A.P., Granat, J.: Multi-objective modeling for engineering application in decision support. In: Fandel, G., Gal, T. (eds.) Multiple Criteria Decision Making: Proceedings of the Twelfth International Conference, pp. 529–540. Springer, Berlin, Heidelberg (1997)CrossRef Wierzbicki, A.P., Granat, J.: Multi-objective modeling for engineering application in decision support. In: Fandel, G., Gal, T. (eds.) Multiple Criteria Decision Making: Proceedings of the Twelfth International Conference, pp. 529–540. Springer, Berlin, Heidelberg (1997)CrossRef
267.
Zurück zum Zitat Wierzbicki, A.P., Granat, J.: Multi-objective modeling for engineering applications: DIDASN++ system. Eur. J. Oper. Res. 113, 372–389 (1999)CrossRef Wierzbicki, A.P., Granat, J.: Multi-objective modeling for engineering applications: DIDASN++ system. Eur. J. Oper. Res. 113, 372–389 (1999)CrossRef
268.
Zurück zum Zitat Winkels, H.-M., Meika, M.: An integration of efficiency projections into the Geoffrion approach for multiobjective linear programming. Eur. J. Oper. Res. 16, 113–127 (1984)CrossRef Winkels, H.-M., Meika, M.: An integration of efficiency projections into the Geoffrion approach for multiobjective linear programming. Eur. J. Oper. Res. 16, 113–127 (1984)CrossRef
269.
Zurück zum Zitat Wood, E., Greis, N.P., Steuer, R.E.: Linear and nonlinear applications of the Tchebycheff metric to the multi criteria water allocation problem. In: Rinaldi, S. (ed.) Environmental Systems Analysis and Management, pp. 363–376. North-Holland, Amsterdam (1982) Wood, E., Greis, N.P., Steuer, R.E.: Linear and nonlinear applications of the Tchebycheff metric to the multi criteria water allocation problem. In: Rinaldi, S. (ed.) Environmental Systems Analysis and Management, pp. 363–376. North-Holland, Amsterdam (1982)
270.
Zurück zum Zitat Yang, J.-B.: Gradient projection and local region search for multiobjective optimization. Eur. J. Oper. Res. 112, 432–459 (1999)CrossRef Yang, J.-B.: Gradient projection and local region search for multiobjective optimization. Eur. J. Oper. Res. 112, 432–459 (1999)CrossRef
271.
Zurück zum Zitat Yang, J.-B., Li, D.: Normal vector identification and interactive tradeoff analysis using minimax formulation in multiobjective optimization. IEEE Trans. Syst. Man Cybern. 32, 305–319 (2002)CrossRef Yang, J.-B., Li, D.: Normal vector identification and interactive tradeoff analysis using minimax formulation in multiobjective optimization. IEEE Trans. Syst. Man Cybern. 32, 305–319 (2002)CrossRef
272.
Zurück zum Zitat Yang, J.-B., Sen, P.: Preference modelling by estimating local utility functions for multiobjective optimization. Eur. J. Oper. Res. 95, 115–138 (1996)CrossRef Yang, J.-B., Sen, P.: Preference modelling by estimating local utility functions for multiobjective optimization. Eur. J. Oper. Res. 95, 115–138 (1996)CrossRef
273.
Zurück zum Zitat Yang, J.-B., Chen, C., Zhang, Z.-J.: The interactive step trade-off method (ISTM) for multiobjective optimization. IEEE Trans. Syst. Man Cybern. 20, 688–695 (1990)CrossRef Yang, J.-B., Chen, C., Zhang, Z.-J.: The interactive step trade-off method (ISTM) for multiobjective optimization. IEEE Trans. Syst. Man Cybern. 20, 688–695 (1990)CrossRef
274.
Zurück zum Zitat Yu, P.L.: A class of solutions for group decision problems. Manag. Sci. 19, 936–946 (1973)CrossRef Yu, P.L.: A class of solutions for group decision problems. Manag. Sci. 19, 936–946 (1973)CrossRef
275.
Zurück zum Zitat Yu, P.L.: Multiple-Criteria Decision Making Concepts, Techniques, and Extensions. Plenum, New York (1985)CrossRef Yu, P.L.: Multiple-Criteria Decision Making Concepts, Techniques, and Extensions. Plenum, New York (1985)CrossRef
276.
Zurück zum Zitat Zadeh, L.: Optimality and non-scalar-valued performance criteria. IEEE Trans. Autom. Control 8, 59–60 (1963)CrossRef Zadeh, L.: Optimality and non-scalar-valued performance criteria. IEEE Trans. Autom. Control 8, 59–60 (1963)CrossRef
277.
Zurück zum Zitat Zeleny, M.: Compromise programming. In: Cochrane, J.L., Zeleny, M. (eds.) Multiple Criteria Decision Making, pp. 262–301. University of South Carolina Press, Columbia (1973) Zeleny, M.: Compromise programming. In: Cochrane, J.L., Zeleny, M. (eds.) Multiple Criteria Decision Making, pp. 262–301. University of South Carolina Press, Columbia (1973)
Metadaten
Titel
Interactive Nonlinear Multiobjective Optimization Methods
verfasst von
Kaisa Miettinen
Jussi Hakanen
Dmitry Podkopaev
Copyright-Jahr
2016
Verlag
Springer New York
DOI
https://doi.org/10.1007/978-1-4939-3094-4_22