Bulletin of Computational Applied Mathematics (Bull CompAMa)
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.