Max-min solutions for fuzzy multiobjective matrix games

In this paper the authors consider two-person zero-sum games with fuzzy multiple payoff matrices. They assume that each player has a fuzzy goal for each of the payoffs. A degree of attainment of the fuzzy goal is defined and the max-min strategy with respect to the degree of attainment of the fuzzy goal is examined. If all of the membership functions both for the fuzzy payoffs and for the fuzzy goals are linear, the formulated mathematical programming problem which yields the max-min strategy can be reduced to the linear programming problem by making use of Sakawa’s method, the variable transformations, and the relaxation procedure.