Solution Of Matrix Game In Intuitionistic Fuzzy Environment
نویسندگان
چکیده
In this paper, an intuitionistic fuzzy matrix game has been considered and its solution method has been proposed using defuzzification method. Score functions have been defined to construct the problem and numerical example has been given in support of the solution method.
منابع مشابه
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 max...
متن کاملAn interval-valued programming approach to matrix games with payoffs of triangular intuitionistic fuzzy numbers
The purpose of this paper is to develop a methodology for solving a new type of matrix games in which payoffs are expressed with triangular intuitionistic fuzzy numbers (TIFNs). In this methodology, the concept of solutions for matrix games with payoffs of TIFNs is introduced. A pair of auxiliary intuitionistic fuzzy programming models for players are established to determine optimal strategies...
متن کاملMultiple attribute decision making with triangular intuitionistic fuzzy numbers based on zero-sum game approach
For many decision problems with uncertainty, triangular intuitionistic fuzzy number is a useful tool in expressing ill-known quantities. This paper develops a novel decision method based on zero-sum game for multiple attribute decision making problems where the attribute values take the form of triangular intuitionistic fuzzy numbers and the attribute weights are unknown. First, a new value ind...
متن کاملA BI-OBJECTIVE PROGRAMMING APPROACH TO SOLVE MATRIX GAMES WITH PAYOFFS OF ATANASSOV’S TRIANGULAR INTUITIONISTIC FUZZY NUMBERS
The intuitionistic fuzzy set has been applied to game theory very rarely since it was introduced by Atanassov in 1983. The aim of this paper is to develop an effective methodology for solving matrix games with payoffs of Atanassov’s triangular intuitionistic fuzzy numbers (TIFNs). In this methodology, the concepts and ranking order relations of Atanassov’s TIFNs are defined. A pair of bi-object...
متن کاملMatrix Games with Intuitionistic Fuzzy Goals
–In this paper, we present an application of intuitionistic fuzzy programming to two person matrix games for the solution with mixed strategies. We use linear membership and non membership functions for such computation. We introduce the intuitionistic fuzzy (IF) goal for the choice of a strategy in a pay-off matrix in order to incorporate ambiguity of human judgments and a player wants to opti...
متن کامل