Skip to main content
Top

2017 | OriginalPaper | Chapter

Group Decision Making: Consensus Approaches Based on Soft Consensus Measures

Authors : Francisco Javier Cabrerizo, Ignacio Javier Pérez, Francisco Chiclana, Enrique Herrera-Viedma

Published in: Fuzzy Sets, Rough Sets, Multisets and Clustering

Publisher: Springer International Publishing

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

A group decision making situation involves multiple decision makers communicating with others to reach a decision. In such a situation, the most important issue is to obtain a decision that is best acceptable by the decision makers, and, therefore, consensus has attained a great attention and it is a major goal of group decision making situations. To measure the closeness among the opinions given by the decision makers, different approaches have been proposed. At the beginning, consensus was meant to be a unanimous and full agreement. However, because this situation is often not reachable in practice, the use of a softer consensus, which assesses the level of agreement in a more flexible way and reflects the large spectrum of possible partial agreements, is a more reasonable approach. Soft consensus approaches better reflects a real human perception of the essence of consensus and, therefore, they have been widely used. The purpose of this contribution is to review the different consensus approaches based on soft consensus measures that have been proposed.

Dont have a licence yet? Then find out more about our products and how to get one now:

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 "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

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!

Literature
1.
go back to reference Alonso, S., Pérez, I.J., Cabrerizo, F.J., Herrera-Viedma, E.: A linguistic consensus model for web 2.0 communities. Applied Soft Computing 13(1), 149–157 (2013)CrossRef Alonso, S., Pérez, I.J., Cabrerizo, F.J., Herrera-Viedma, E.: A linguistic consensus model for web 2.0 communities. Applied Soft Computing 13(1), 149–157 (2013)CrossRef
2.
go back to reference Ben-Arieh, D., Chen, Z.: Linguistic-labels aggregation and consensus measure for autocratic decision making using group recommendations. IEEE Transactions on Systems Man and Cybernetics - Part A: Systems and Humans 36(3), 558–568 (2006)CrossRef Ben-Arieh, D., Chen, Z.: Linguistic-labels aggregation and consensus measure for autocratic decision making using group recommendations. IEEE Transactions on Systems Man and Cybernetics - Part A: Systems and Humans 36(3), 558–568 (2006)CrossRef
3.
go back to reference Bezdek, J., Spillman, B., Spillman, R.: A fuzzy relation space for group decision theory. Fuzzy Sets and Systems 1(4), 255–268 (1978)MathSciNetCrossRefMATH Bezdek, J., Spillman, B., Spillman, R.: A fuzzy relation space for group decision theory. Fuzzy Sets and Systems 1(4), 255–268 (1978)MathSciNetCrossRefMATH
4.
go back to reference Bryson, N.: Group decision-making and the analytic hierarchy process: Exploring the consensus-relevant information content. Computers & Operations Research 23(1), 27–35 (1996)CrossRefMATH Bryson, N.: Group decision-making and the analytic hierarchy process: Exploring the consensus-relevant information content. Computers & Operations Research 23(1), 27–35 (1996)CrossRefMATH
5.
go back to reference Butler, C.T., Rothstein, A.: On conflict and consensus: A handbook on formal consensus decision making. Tahoma Park (2006) Butler, C.T., Rothstein, A.: On conflict and consensus: A handbook on formal consensus decision making. Tahoma Park (2006)
6.
go back to reference Cabrerizo, F.J., Moreno, J.M., Pérez, I.J., Herrera-Viedma, E.: Analyzing consensus approaches in fuzzy group decision making: Advantages and drawbacks. Soft Computing 14(5), 451–463 (2010)CrossRef Cabrerizo, F.J., Moreno, J.M., Pérez, I.J., Herrera-Viedma, E.: Analyzing consensus approaches in fuzzy group decision making: Advantages and drawbacks. Soft Computing 14(5), 451–463 (2010)CrossRef
7.
go back to reference Cabrerizo, F.J., Heradio, R., Pérez, I.J., Herrera-Viedma, E.: A selection process based on additive consistency to deal with incomplete fuzzy linguistic information. Journal of Universal Computer Science 16(1), 62–81 (2010)MathSciNetMATH Cabrerizo, F.J., Heradio, R., Pérez, I.J., Herrera-Viedma, E.: A selection process based on additive consistency to deal with incomplete fuzzy linguistic information. Journal of Universal Computer Science 16(1), 62–81 (2010)MathSciNetMATH
8.
go back to reference Cabrerizo, F.J., Pérez, I.J., Herrera-Viedma, E.: Managing the consensus in group decision making in an unbalanced fuzzy linguistic context with incomplete information. Knowledge-Based Systems 23(2), 169–181 (2010)CrossRef Cabrerizo, F.J., Pérez, I.J., Herrera-Viedma, E.: Managing the consensus in group decision making in an unbalanced fuzzy linguistic context with incomplete information. Knowledge-Based Systems 23(2), 169–181 (2010)CrossRef
9.
go back to reference Chen, S.J., Hwang, C.L.: Fuzzy multiple attributive decision making: Theory and its applications. Springer, Berlin (1992)CrossRef Chen, S.J., Hwang, C.L.: Fuzzy multiple attributive decision making: Theory and its applications. Springer, Berlin (1992)CrossRef
10.
go back to reference Chen, X., Zhang, H., Dong, Y.: The fusion process with heterogeneous preference structures in group decision making: A survey. Information Fusion 24, 72–83 (2015)CrossRef Chen, X., Zhang, H., Dong, Y.: The fusion process with heterogeneous preference structures in group decision making: A survey. Information Fusion 24, 72–83 (2015)CrossRef
11.
go back to reference Chiclana, F., Herrera-Viedma, E., Herrera, F., Alonso, S.: Some induced ordered weighted averaging operators and their use for solving group decision making problems based on fuzzy preference relations. European Journal of Operational Research 182(1), 383–399 (2007)CrossRefMATH Chiclana, F., Herrera-Viedma, E., Herrera, F., Alonso, S.: Some induced ordered weighted averaging operators and their use for solving group decision making problems based on fuzzy preference relations. European Journal of Operational Research 182(1), 383–399 (2007)CrossRefMATH
12.
go back to reference Coch, L., French, J.R.P.: Overcoming resistance to change. Human Relations 1(4), 512–532 (1948)CrossRef Coch, L., French, J.R.P.: Overcoming resistance to change. Human Relations 1(4), 512–532 (1948)CrossRef
15.
16.
go back to reference Fedrizzi, M., Kacprzyk, J., Zadrozny, S.: An interactive multi-user decision support system for consensus reaching processes using fuzzy logic with linguistic quantifiers. Decision Support Systems 4(3), 313–327 (1988)CrossRefMATH Fedrizzi, M., Kacprzyk, J., Zadrozny, S.: An interactive multi-user decision support system for consensus reaching processes using fuzzy logic with linguistic quantifiers. Decision Support Systems 4(3), 313–327 (1988)CrossRefMATH
17.
go back to reference Fedrizzi, M., Pasi, G.: Fuzzy logic approaches to consensus modeling in group decision making. In: Ruan, D., Hardeman, F., Van Der Meer, K. (Eds) Intelligent Decision and Policy Making Support Systems, pp. 19–37. Springer-Verlag, Berlin-Heidelberg (2008)CrossRef Fedrizzi, M., Pasi, G.: Fuzzy logic approaches to consensus modeling in group decision making. In: Ruan, D., Hardeman, F., Van Der Meer, K. (Eds) Intelligent Decision and Policy Making Support Systems, pp. 19–37. Springer-Verlag, Berlin-Heidelberg (2008)CrossRef
18.
go back to reference French, J.R.P.: A formal theory of social power. Psychological Review 63(3), 181–194 (1956)CrossRef French, J.R.P.: A formal theory of social power. Psychological Review 63(3), 181–194 (1956)CrossRef
19.
go back to reference Fodor, J., Roubens, M.: Fuzzy preference modeling and multicriteria decision support. Kluwer, Dordrecht (1994)CrossRefMATH Fodor, J., Roubens, M.: Fuzzy preference modeling and multicriteria decision support. Kluwer, Dordrecht (1994)CrossRefMATH
20.
go back to reference Grabisch, M., Marichal, J.-L., Mesiar, R., Endre, P.: Aggregation functions (Encyclopedia of Mathematics and its Applications). Cambridge University Press, New York (2009)CrossRefMATH Grabisch, M., Marichal, J.-L., Mesiar, R., Endre, P.: Aggregation functions (Encyclopedia of Mathematics and its Applications). Cambridge University Press, New York (2009)CrossRefMATH
21.
go back to reference Grabisch, M., Labreuche, C.: Fuzzy measures and integrals in MCDA. In: Greco, S., Ehrgott, M., Figueira, J.R. (Eds) Multiple Criteria Decision Analysis, pp. 553–603. Springer, New York (2016)CrossRef Grabisch, M., Labreuche, C.: Fuzzy measures and integrals in MCDA. In: Greco, S., Ehrgott, M., Figueira, J.R. (Eds) Multiple Criteria Decision Analysis, pp. 553–603. Springer, New York (2016)CrossRef
23.
go back to reference Herrera, F., Herrera-Viedma, E., Verdegay, J.L.: A model of consensus in group decision making under linguistic assessments. Fuzzy Sets and Systems 78(1), 73–87 (1996)MathSciNetCrossRefMATH Herrera, F., Herrera-Viedma, E., Verdegay, J.L.: A model of consensus in group decision making under linguistic assessments. Fuzzy Sets and Systems 78(1), 73–87 (1996)MathSciNetCrossRefMATH
24.
go back to reference Herrera, F., Herrera-Viedma, E., Verdegay, J.L.: A rational consensus model in group decision making using linguistic assessments. Fuzzy Sets and Systems 88(1), 31–49 (1997)CrossRefMATH Herrera, F., Herrera-Viedma, E., Verdegay, J.L.: A rational consensus model in group decision making using linguistic assessments. Fuzzy Sets and Systems 88(1), 31–49 (1997)CrossRefMATH
25.
go back to reference Herrera, F., Herrera-Viedma, E., Verdegay, J.L.: Linguistic measures based on fuzzy coincidence for reaching consensus in group decision making. International Journal of Approximate Reasoning 16(3–4), 309–334 (1997)CrossRefMATH Herrera, F., Herrera-Viedma, E., Verdegay, J.L.: Linguistic measures based on fuzzy coincidence for reaching consensus in group decision making. International Journal of Approximate Reasoning 16(3–4), 309–334 (1997)CrossRefMATH
26.
go back to reference Herrera, F., Herrera-Viedma, E.: Linguistic decision analysis: Steps for solving decisions problems under linguistic information. Fuzzy Sets and Systems 115(1), 67–82 (2000)MathSciNetCrossRefMATH Herrera, F., Herrera-Viedma, E.: Linguistic decision analysis: Steps for solving decisions problems under linguistic information. Fuzzy Sets and Systems 115(1), 67–82 (2000)MathSciNetCrossRefMATH
27.
go back to reference Herrera, F., Alonso, S., Chiclana, F., Herrera-Viedma, E.: Computing with words in decision making: Foundations, trends and prospects. Fuzzy Optimization and Decision Making 8(4), 337–364 (2009)CrossRefMATH Herrera, F., Alonso, S., Chiclana, F., Herrera-Viedma, E.: Computing with words in decision making: Foundations, trends and prospects. Fuzzy Optimization and Decision Making 8(4), 337–364 (2009)CrossRefMATH
28.
go back to reference Herrera-Viedma, E., Herrera, F., Chiclana, F.: A consensus model for multiperson decision making with different preference structures. IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans 32(3), 394–402 (2002)CrossRefMATH Herrera-Viedma, E., Herrera, F., Chiclana, F.: A consensus model for multiperson decision making with different preference structures. IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans 32(3), 394–402 (2002)CrossRefMATH
29.
go back to reference Herrera-Viedma, E., Martinez, L., Mata, F., Chiclana, F.: A consensus support system model for group decision-making problems with multigranular linguistic preference relations. IEEE Transactions on Fuzzy Systems 13(5), 644–658 (2005)CrossRef Herrera-Viedma, E., Martinez, L., Mata, F., Chiclana, F.: A consensus support system model for group decision-making problems with multigranular linguistic preference relations. IEEE Transactions on Fuzzy Systems 13(5), 644–658 (2005)CrossRef
30.
go back to reference Herrera-Viedma, E., Herrera, F., Alonso, S.: Group decision-making model with incomplete fuzzy preference relations based on additive consistency. IEEE Transactions on Systems, Man and Cybernetics - Part B: Cybernetics 37(1), 176–189 (2007)CrossRefMATH Herrera-Viedma, E., Herrera, F., Alonso, S.: Group decision-making model with incomplete fuzzy preference relations based on additive consistency. IEEE Transactions on Systems, Man and Cybernetics - Part B: Cybernetics 37(1), 176–189 (2007)CrossRefMATH
31.
go back to reference Herrera-Viedma, E., Cabrerizo, F.J., Kacprzyk, J., Pedrycz, W.: A review of soft consensus models in a fuzzy environment. Information Fusion 17, 4–13 (2014)CrossRef Herrera-Viedma, E., Cabrerizo, F.J., Kacprzyk, J., Pedrycz, W.: A review of soft consensus models in a fuzzy environment. Information Fusion 17, 4–13 (2014)CrossRef
32.
go back to reference Kacprzyk, J.: Group decision-making with a fuzzy majority via linguistic quantifiers. Part I: A consensory-like pooling. Cybernetics and Systems: An International Journal 16(2–3), 119–129 (1985)MATH Kacprzyk, J.: Group decision-making with a fuzzy majority via linguistic quantifiers. Part I: A consensory-like pooling. Cybernetics and Systems: An International Journal 16(2–3), 119–129 (1985)MATH
33.
go back to reference Kacprzyk, J.: Group decision-making with a fuzzy majority via linguistic quantifiers. Part I: A competitive-like pooling. Cybernetics and Systems: An International Journal 16(2–3), 131–144 (1985)MATH Kacprzyk, J.: Group decision-making with a fuzzy majority via linguistic quantifiers. Part I: A competitive-like pooling. Cybernetics and Systems: An International Journal 16(2–3), 131–144 (1985)MATH
35.
go back to reference Kacprzyk, J.: On some fuzzy cores and ‘soft’ consensus measures in group decision making. In: Bezdek, J.C. (Ed) The Analysis of Fuzzy Information, pp. 119–130. CRC Press, Boca Raton (1987) Kacprzyk, J.: On some fuzzy cores and ‘soft’ consensus measures in group decision making. In: Bezdek, J.C. (Ed) The Analysis of Fuzzy Information, pp. 119–130. CRC Press, Boca Raton (1987)
36.
go back to reference Kacprzyk, J., Fedrizzi, M.: A ‘soft’ measure of consensus in the setting of partial (fuzzy) preferences. European Journal of Operational Research 34(3), 316–325 (1988)MathSciNetCrossRef Kacprzyk, J., Fedrizzi, M.: A ‘soft’ measure of consensus in the setting of partial (fuzzy) preferences. European Journal of Operational Research 34(3), 316–325 (1988)MathSciNetCrossRef
37.
go back to reference Kacprzyk, J., Fedrizzi, M.: A ‘human-consistent’ degree of consensus based on fuzzy logic with linguistic quantifiers. Mathematical Social Sciences 18(3), 275–290 (1989)MathSciNetCrossRefMATH Kacprzyk, J., Fedrizzi, M.: A ‘human-consistent’ degree of consensus based on fuzzy logic with linguistic quantifiers. Mathematical Social Sciences 18(3), 275–290 (1989)MathSciNetCrossRefMATH
38.
go back to reference Kacprzyk, J., Fedrizzi, M., Nurmi, H.: Group decision making and consensus under fuzzy preferences and fuzzy majority. Fuzzy Sets and Systems 49(1), 21–31 (1992)MathSciNetCrossRefMATH Kacprzyk, J., Fedrizzi, M., Nurmi, H.: Group decision making and consensus under fuzzy preferences and fuzzy majority. Fuzzy Sets and Systems 49(1), 21–31 (1992)MathSciNetCrossRefMATH
39.
go back to reference Kacprzyk, J., Zadrozny, S., Ras, Z.W.: How to support consensus reaching using action rules: a novel approach. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 18(4), 451–470 (2010)MathSciNetCrossRef Kacprzyk, J., Zadrozny, S., Ras, Z.W.: How to support consensus reaching using action rules: a novel approach. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 18(4), 451–470 (2010)MathSciNetCrossRef
41.
go back to reference Loewer, B., Laddaga, R.: Destroying the consensus. Synthese 62(1), 79–96 (1985)CrossRef Loewer, B., Laddaga, R.: Destroying the consensus. Synthese 62(1), 79–96 (1985)CrossRef
42.
go back to reference Mata, F., Martinez, L., Herrera-Viedma, E.: An adaptive consensus support model for group decision-making problems in a multigranular fuzzy linguistic context. IEEE Transactions on Fuzzy Systems 17(2), 279–290 (2009)CrossRef Mata, F., Martinez, L., Herrera-Viedma, E.: An adaptive consensus support model for group decision-making problems in a multigranular fuzzy linguistic context. IEEE Transactions on Fuzzy Systems 17(2), 279–290 (2009)CrossRef
43.
go back to reference Narukawa, Y., Torra, V.: Fuzzy measures and integrals in evaluation of strategies. Information Sciences 177(21), 4686–4695 (2007)MathSciNetCrossRefMATH Narukawa, Y., Torra, V.: Fuzzy measures and integrals in evaluation of strategies. Information Sciences 177(21), 4686–4695 (2007)MathSciNetCrossRefMATH
44.
45.
go back to reference Pawlak, A.: Information systems theoretical foundations. Information Systems 6(3), 205–218 (1981)CrossRefMATH Pawlak, A.: Information systems theoretical foundations. Information Systems 6(3), 205–218 (1981)CrossRefMATH
46.
go back to reference Pérez, I.J., Cabrerizo, F.J., Alonso, S., Herrera-Viedma, E.: A new consensus model for group decision making problems with non homogeneous experts. IEEE Transactions on Systems, Man, and Cybernetics: Systems 44(4), 494–498 (2014)CrossRef Pérez, I.J., Cabrerizo, F.J., Alonso, S., Herrera-Viedma, E.: A new consensus model for group decision making problems with non homogeneous experts. IEEE Transactions on Systems, Man, and Cybernetics: Systems 44(4), 494–498 (2014)CrossRef
47.
go back to reference Pérez, L.G., Mata, F., Chiclana, F., Kou, G., Herrera-Viedma, E.: Modeling influence in group decision making. Soft Computing 20(4), 1653–1665 (2016)CrossRef Pérez, L.G., Mata, F., Chiclana, F., Kou, G., Herrera-Viedma, E.: Modeling influence in group decision making. Soft Computing 20(4), 1653–1665 (2016)CrossRef
49.
go back to reference Saaty, T.L.: The analytic hierarchy process: Planning, priority setting, resource allocation. McGraw-Hill, New York (1980)MATH Saaty, T.L.: The analytic hierarchy process: Planning, priority setting, resource allocation. McGraw-Hill, New York (1980)MATH
50.
go back to reference Saint, S., Lawson, J.R.: Rules for reaching consensus: A modern approach to decision making. Jossey-Bass (1994) Saint, S., Lawson, J.R.: Rules for reaching consensus: A modern approach to decision making. Jossey-Bass (1994)
51.
go back to reference Spillman, B., Bezdek, J., Spillman, R.: Coalition analysis with fuzzy sets. Kybernetes 8(3), 203–211 (1979)CrossRefMATH Spillman, B., Bezdek, J., Spillman, R.: Coalition analysis with fuzzy sets. Kybernetes 8(3), 203–211 (1979)CrossRefMATH
53.
go back to reference Torra, V., Narukawa, Y.: Modeling decisions: Information fusion and aggregation operators. Springer-Verlag (2007) Torra, V., Narukawa, Y.: Modeling decisions: Information fusion and aggregation operators. Springer-Verlag (2007)
54.
go back to reference Yager, R.R.: On ordered weighted averaging aggregation operators in multicriteria decision making. IEEE Transactions on Systems Man and Cybernetics 18(1), 183–190 (1988)MathSciNetCrossRefMATH Yager, R.R.: On ordered weighted averaging aggregation operators in multicriteria decision making. IEEE Transactions on Systems Man and Cybernetics 18(1), 183–190 (1988)MathSciNetCrossRefMATH
56.
go back to reference Zadeh, L.A.: A computational approach to fuzzy quantifiers in natural languages. Computers & Mathematics with Applications 9(1), 149–184 (1983)MathSciNetCrossRefMATH Zadeh, L.A.: A computational approach to fuzzy quantifiers in natural languages. Computers & Mathematics with Applications 9(1), 149–184 (1983)MathSciNetCrossRefMATH
57.
go back to reference Zadrozny, S., Kacprzyk, J.: Issues in the practical use of the OWA operators in fuzzy querying. Journal of Intelligent Information Systems 33(3), 307–325 (2009)CrossRef Zadrozny, S., Kacprzyk, J.: Issues in the practical use of the OWA operators in fuzzy querying. Journal of Intelligent Information Systems 33(3), 307–325 (2009)CrossRef
Metadata
Title
Group Decision Making: Consensus Approaches Based on Soft Consensus Measures
Authors
Francisco Javier Cabrerizo
Ignacio Javier Pérez
Francisco Chiclana
Enrique Herrera-Viedma
Copyright Year
2017
DOI
https://doi.org/10.1007/978-3-319-47557-8_18

Premium Partner