Solution of intuitionistic fuzzy matrix games using centroid method

Abstract

The purpose of this paper is to give a solution procedure for matrix games in fuzzy enviornment. In this paper the payoffs of matrix is represented by trapezoidal intuitionistic fuzzy numbers. Different types of ranking approaches are used to solve matrix games but there exist rare use of centroid concept. In this paper centroid concept is used to rank trapezoidal intuitionistic fuzzy numbers and to solve fuzzy game problem. In this paper a relation is also given to convert trapezodial numbers into triangular intuitionistic fuzzy numbers. A numerical example is also given to justify the proposed ranking method.