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2014 | 9 | 58-71

Article title

Improving the Game Approach to Fuzzy Madm

Content

Title variants

Languages of publication

EN

Abstracts

EN
In the FSS paper 157 (2005, p. 34-51) we presented a game approach for solving MADM problems with fuzzy decision matrix. The results of the paper essentially depend on the assumption that the entries of the fuzzy decision matrix are triangular fuzzy numbers and dependent via a real parameter \lambda. In this paper we present a more general game approach for solving fuzzy MADM problems free of these restrictions. The entries of the decision matrix are assumed to be not necessarily dependent fuzzy intervals with bounded support as defined by Dubois and Prade.

Year

Volume

9

Pages

58-71

Physical description

Contributors

References

  • Chen Y.W. and Larbani M. (2005), Two-person Zero-Sum Game Approach for Fuzzy Multiple Attribute Decision Making Problems, Fuzzy Sets and Systems, 157, 34-51.
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  • Dubois D. and Prade H. (2000), Fundamentals o f Fuzzy Sets. The Handbooks o f Fuzzy Sets Series, Kluwer Academic Publisher.
  • Hwang C.L., Yun K. (1981), Multiatribute Decision Making Methods and Applications. A State o f the Art Survey, Springer Verlag, Berlin, Heidelberg, New York.
  • Kahraman C. (2008), Multi-Criteria Decision Making Methods and Fuzzy Sets. Fuzzy Multi-Criteria Decision Making, Springer Optimization and Its Applications 16, 1-18.
  • Larbani M. (2009A), Solving Bimatrix Games with Fuzzy Payoffs by Introducing Nature as a Third Player, Fuzzy Sets and Systems 160, 657-666.
  • Larbani M. (2009B), Non Cooperative Fuzzy Games in Normal Form: A Survey, Fuzzy Sets and Systems 160, 3184-3210.
  • Luce R.D., Raiffa H. (1957), Games and Decisions, John Wiley and Sons Inc., New York.
  • Nash J.F. (1951), Noncooperative Games, Annals of Mathematics, 54, 286-295.
  • Rosen J.B. (1965), Existence and Uniqness o f Equilibrium Point for Concave n-Person Games, Econometrica, Vol. 33, Iss. 3, 520-534.
  • Sakawa M., Yano H. (1989), Interactive Decision Making for Multiobjective Non Linear Programming Problems with Fuzzy Parameters, Fuzzy Sets and Systems, 29, 315-326.
  • Yang W.-E., Wang J.-Q. (2012), Vague Linguistic Matrix Game Approach for Multi-criteria Decision Making with Uncertain Weights, Journal of Intelligent and Fuzzy Systems 25, 315-324.
  • Zadeh L.A. (1965), Fuzzy Sets, Inf. and Cont., 8, 338-353.

Document Type

Publication order reference

Identifiers

ISSN
2084-1531

YADDA identifier

bwmeta1.element.desklight-b04ab38c-ddbb-4f76-8e76-f842bb0f8587
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