BI-MATRIX GAMES WITH INTUITIONISTIC FUZZY GOALS

نویسندگان

1 Department of Mathematics, Bankura Christian College, P.O.+ Dist- Bankura, West Bengal,722101, India

2 Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore-721 102, India

doi
10.22111/ijfs.2010.162
چکیده

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 maximize his/her degree of attainment of the IFgoal. It is shown that this solution is the optimal solution of a mathematicalprogramming problem. Finally, we present a numerical example to illustratethe methodology.