Solving Bi-matrix games by Type-2 fuzzy goal programming

Abstract

This paper investigates a bi-matrix game in which the satisfactory degrees of the players are vague. Type-2 fuzzy goal programming approach is used to describe the game. Then, the notion of equilibrium points is introduced and an optimization problem is given to calculate them. Moreover, the special case that the type-2 fuzzy goals are triangular is investigated. Finally, an applicable example is presented to illustrate the results.