Two-person zero-sum games with multiple fuzzy goals

In this paper the authors introduce a fuzzy goal which represents satisfaction with respect to a payoff in two-person zero-sum games with a single payoff and multiple payoffs. They consider the strategy based on max-min principle. For two-person zero-sum games with a single payoff if membership functions of two players are symmetric and linear, it is shown that the min-max theorem holds. For two-person zero-sum games with multiple payoffs the authors also introduce a fuzzy goal with respect to each payoff in a similar way. If these fuzzy goals are linear, it is shown that the strategy based on the max-min principle can be obtained by solving a linear programming problem. Finally a numerical example is given. [In Japanese.]