BI-MATRIX GAMES WITH INTUITIONISTIC FUZZY GOALS

In this paper, we present an application of intuitionistic fuzzyprogramming to a two person bi-matrix game (pair of payoffs matrices) for thesolution with mixed strategies using linear membership and non-membershipfunctions. We also introduce the intuitionistic fuzzy(IF) goal for a choiceof a strategy in a payoff matrix in order to incorporate ambiguity of humanjudgements; a player wants to maximize his/her degree of attainment of the IFgoal. It is shown that this solution is the optimal solution of a mathematicalprogramming problem. Finally, we present a numerical example to illustratethe methodology.

کلیدواژه ها:

Bi-matrix game ، Nash equilibrium ، Intuitionistic fuzzy sets ، Fuzzy optimization ، Intuitionistic fuzzy optimization