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: 2017-06-30
Authors : Darunee Hunwisai; Poom Kumam;
Page : 9-32
Keywords : Intuitionistic fuzzy set; matrix game; linear programming;
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.
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