Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Published in:
Higher Degree Fuzzy Transform: Application to Stationary Processes and Noise Reduction Read chapter Read first chapter

2018 | OriginalPaper | Chapter

Fuzzy MCDA Without Defuzzification Based on Fuzzy Rank Acceptability Analysis

Authors : Boris Yatsalo, Luis Martinez

Published in: Advances in Fuzzy Logic and Technology 2017

Publisher: Springer International Publishing

Log in

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

search-config
loading …

Abstract

Multi-criteria decision analysis (MCDA) in the fuzzy environment needs not only in implementation of functions of fuzzy variables but also inevitably leads to ranking fuzzy quantities. The use of simplification and defuzzification methods at different stages of fuzzy MCDA (FMCDA) results in a loss of information and does not meet the concept of fuzzy decision analysis that “the decision taken in the fuzzy environment must be inherently fuzzy”. In this contribution, a new approach to FMCDA is suggested, in which fuzzy criterion values and fuzzy weight coefficients are considered as fuzzy numbers (FNs) of a general type. Ranking alternatives is based on a novel methodological approach, fuzzy rank acceptability analysis (FRAA), for ranking FNs, whose use within FMCDA forms the fuzzy multicriteria acceptability analysis (FMAA) and implements a consistent approach to fuzzy decision analysis providing both ranking alternatives and the degree of confidence for each alternative to have the corresponding rank. Properties of FRAA ranking and integration of FRAA with a fuzzy extension of MAVT (FMAVT) as an example are considered and discussed along with the overestimation problem, which can arise when implementing FMCDA. The outcomes of FMAVT application for analysis of a multicriteria problem within the case study on land-use planning are considered and compared with the results by (classical) MAVT method.

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!

inform now

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!

inform now

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!

inform now
previous chapter Edge Detection Based on the Fusion of Multiscale Anisotropic Edge Strength Measurements
next chapter A Portfolio of Minimum Risk in a Hybrid Uncertainty of a Possibilistic-Probabilistic Type: Comparative Study
Literature
1.
2.
Chen, S.J., Hwang, C.L.: Fuzzy Multiple Attribute Decision Making: Methods and Applications, vol. 375. Springer, Berlin (1992)MATH
3.
Wang, X., Ruan, D., Kerre, E.E.: Mathematics of Fuzziness Basic Issues. Springer, Berlin (2009)CrossRefMATH
4.
Pedrycz, W., Ekel, P., Parreiras, R.: Fuzzy Multicriteria Decision-Making: Models, Methods and Applications. Wiley, Chichester (2010)CrossRef
5.
Belton, V., Stewart, T.: Multiple Criteria Decision Analysis: An Integrated Approach. Kluwer Academic Publishers, Dordrecht (2002)CrossRef
6.
Figueira, J., Greco, S., Ehrgott, M. (eds.): Multiple Criteria Decision Analysis. State of the Art Surveys. Springer, New York (2005)MATH
7.
Matarazzo, B., Munda, G.: New approaches for the comparison of LR fuzzy numbers: a theoretical and operational analysis. Fuzzy Sets Syst. 118, 407–418 (2001)CrossRefMATH
8.
9.
10.
11.
Wang, Z.-X., Mo, Y.-N.: Ranking fuzzy numbers based on ideal solution. In: Cao, B.-Y., Zhang, C.-Y., Li, T.-F. (eds.) Fuzzy Information and Engineering. Advances in Soft Computing, vol. 54, pp. 201–209. Springer, Berlin (2009)CrossRef
12.
Tong, R.M., Bonissone, P.P.: A linguistic approach to decision making with fuzzy sets. IEEE Trans. Syst. Man Cybern. 10, 716–723 (1980)MathSciNetCrossRef
13.
Yatsalo, L., Martinez, A.: Novel approach to ranking fuzzy numbers based on fuzzy acceptability analysis. In: Zeng, X., Lu, J., Kerre, E.E., Martinez, L., Koehl, L. (eds.) Proceedings of the 12th International FLINS2016 Conferences on Uncertainty Modelling in Knowledge Engineering and Decision Making, pp. 75–80. World Scientific, Roubaix (2016). doi:10.​1142/​9789813146976_​0015. ISBN 978-981-316-96-9.24-26.08
14.
15.
Nakamura, Kazuo.: Preference relations on a set of fuzzy utilities as a basis for decision making. Fuzzy Sets Syst. 20(2), 147–162 (1986)MathSciNetCrossRefMATH
16.
Delgado, M., Verdegay, J.L., Vila, M.A.: A procedure for ranking fuzzy numbers using fuzzy relations. Fuzzy Sets Syst. 26(1), 49–62 (1988)MathSciNetCrossRefMATH
17.
Salminen, P., Lahdelma, R.: SMAA-2: stochastic multicriteria acceptability analysis for group decision making. Oper. Res. 49(3), 444–454 (2001)CrossRefMATH
18.
Yatsalo, B., Gritsyuk, S., Mirzeabasov, O.A., Vasilevskaya, M.: Uncertainty treatment within multicriteria decision analysis with the use of acceptability concept. Control Big Syst. 32, 5–30 (2011). (in Russian)
19.
20.
Yatsalo, B.: A new approach to fuzzy multi-criteria acceptability analysis. In: Alonso, J.M., Bustince, H., Reformat, M. (eds.), Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology. Series AISR, vol. 89, pp. 947–952 (2015). ISBN 978-94-62520-77-6. ISSN 1951-6851 (2015)
21.
Yatsalo, B., Martinez, L.: A novel approach to ranking fuzzy numbers based on fuzzy acceptability analysis. In: Zeng, X., Lu, J., Kerre, E.E., Martinez, L., Koehl, L. (eds.), Proceedings of the 12th International FLINS2016 Conference on Uncertainty Modelling in Knowledge Engineering and Decision Making, pp. 75–80. World Scientific, Roubaix (2016). doi:10.​1142/​9789813146976_​0015. ISBN 978-981-316-96-9.24-26.08
22.
Yatsalo, B., Martinez, L.: Fuzzy multi-criteria acceptability analysis: a new approach to multi-criteria decision analysis under fuzzy environment. Expert Syst. Appl. 84, 262–271 (2017)CrossRef
23.
Hanss, M.: Applied Fuzzy Arithmetic. Springer, Berlin (2005)MATH
24.
Keeney, R.L., Raiffa, H.: Decisions with Multiple Objectives: Preferences and Value Tradeoffs. Wiley, New York (1976)MATH
25.
Kahraman, C., Cevik Onar, S., Oztaysi, B.: Fuzzy multicriteria decision-making: a literature review. Int. J. Comput. Intell. Syst. 8(4), 637–666 (2015)CrossRefMATH
26.
Ashour, O.M., Okudan Kremer, Gl.E.: A simulation analysis of the impact of FAHP-MAUT triage algorithm on the emergency department performance measures. Expert Syst. Appl. 40(1), 177–187 (2013)CrossRef
27.
Jimnez, A., Mateos, A., Sabio, P.: Dominance intensity measure within fuzzy weight oriented MAUT: an application. Omega Manag. Sci. Environ. Issues 41(2), 397–405 (2013)
28.
Yatsalo, B., Didenko, V., Tkachuk, A., Gritsyuk, S., Mirzeabasov, O., Slipenkaya, V., Babutski, A., Pichugina, I., Sullivan, T., Linkov, I.: Multi-criteria spatial decision support system DECERNS: application to land use planning. Int. J. Inf. Syst. Soc. Change 1, 11–30 (2010)CrossRef
Metadata
Title
Fuzzy MCDA Without Defuzzification Based on Fuzzy Rank Acceptability Analysis
Authors
Boris Yatsalo
Luis Martinez
Copyright Year
2018
Book
Advances in Fuzzy Logic and Technology 2017

Print ISBN: 978-3-319-66826-0

Electronic ISBN: 978-3-319-66827-7

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-3-319-66827-7_50

Premium Partner

    Image Credits