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Linear programming model for solution of matrix game with payoffs trapezoidal intuitionistic fuzzy number

Journal: Bulletin of Computational Applied Mathematics (Bull CompAMa) (Vol.5, No. 1)

Publication Date:

Authors : ; ;

Page : 9-32

Keywords : Intuitionistic fuzzy set; matrix game; linear programming;

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Abstract

In this work, we considered two-person zero-sum games with fuzzy payoffs and matrix games with payoffs of trapezoidal intuitionistic fuzzy numbers (TrIFNs). The concepts of TrIFNs and their arithmetic operations were used. The cut-set based method for matrix games with payoffs of TrIFNs was also considered. Compute the interval-type value of any alfa-constrategies by simplex method for linear programming. The proposed method is illustrated with a numerical example.

Last modified: 2018-08-05 09:37:49