Linear programming models to solve fully fuzzy two person zero sum matrix game
Authors :
Ganesh Kumar 1 * and Vinod Jangid 2
Author Address :
1,2 Department of Mathematics, University of Rajasthan, Jaipur-302004, India.
*Corresponding author.
Abstract :
This paper presents a new method for solving the two person zero sum matrix game with fuzzy payoffs and fuzzy strategies for the players. Ranking function of triangular fuzzy numbers is used to develop a pair of crisp linear programming models corresponding to each player. Every established model for each player is illustrated through a numerical example. Sensitivity analysis with respect to different parameters on value of game and strategies of players are demonstrated by graphs.
Keywords :
Two person zero sum matrix game, fuzzy number, fuzzy ranking, defuzzification.
DOI :
Article Info :
Received : February 17, 2020; Accepted : May 19, 2020.
