An approach for solving fuzzy matrix games using signed distance method

Abstract

The goal of this paper is to solve a matrix game with fuzzy payoffs. In this paper, a fuzzy matrix game has been considered and its solution methodology has been proposed. In this paper, fuzzy payoff values are assumed to be trapezoidal fuzzy numbers. Then the corresponding matrix game has been converted into crisp game using defuzzification of fuzzy number. Here, widely known signed distance method has been used for defuzzification of fuzzy number. The value of the matrix game and strategy for each player is obtained by solving corresponding crisp game problems using the traditional method. Finally, a numerical example has been presented and solved.