abstract 28


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Linear programming model  for solution of matrix game with payoffs trapezoidal intuitionistic fuzzy number
Darunee Hunwisai, Poom Kumam

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.

Keywords: Intuitionistic fuzzy set, matrix game, linear programming

Cite this paper:
Hunwisai D., Kumam P., Linear programming model  for solution of matrix game with payoffs trapezoidal intuitionistic fuzzy number.
Bull. Comput. Appl. Math. (Bull CompAMa),
Vol. 5, No. 1, Jan-Jun, pp.9-32, 2017