A Novel Approach for Solving Triangular and Trapezoidal Intuitionistic Fuzzy Games Using Dominance Property and Oddment Method

Abstract

In this Paper, We examine Intuitionistic Fuzzy Game Theory problem in which cost co-efficients are triangular and trapezoidal intuitionistic fuzzy numbers. In conventional game theory problem, cost is always certain. This paper develops an approach to solve an intuitionistic fuzzy games where cost is not deterministic numbers but imprecise ones. Here, the elements of the costs (profits) matrix of the games are triangular and trapezoidal intuitionistic fuzzy numbers. Then its membership and non-membership functions are defined. A ranking technique is used to compare the intuitionistic fuzzy numbers so that Dominance property in Intuitionistic Fuzzy Games may be applied and later Dominance property in Intuitionistic Fuzzy Oddments Method is used to solve the intuitionistic fuzzy games. Numerical examples show that an intuitionistic fuzzy ranking technique offers an effective tool for handling an intuitionistic fuzzy games.