Multiobjective Zero-Sum Games in Intuitionistic fuzzy Environment

The aim of this paper is to develop a mathodology for solving a multiobjective zero-sum game with fuzzy payoffs. It is assumed that the payoffs of game matrices are expressed with triangular intuitionistic fuzzy numbers. The two programming problems are introduced to obtain the efficient strategies of the players. These problems are obtained by the concept of cuts of intuitionistic fuzzy sets. Finally, the validity and applicability of the proposed method is illustrated with a numerical example.

Keywords:

Zero-sum game , Intutionistic fuzzy sets , Multiobjective optimization , Game theory , Fuzzy numbers.