BI-MATRIX GAMES WITH INTUITIONISTIC FUZZY GOALS

Document Type : Research Paper

Authors

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

Abstract

In this paper, we present an application of intuitionistic fuzzy
programming to a two person bi-matrix game (pair of payoffs matrices) for the
solution with mixed strategies using linear membership and non-membership
functions. We also introduce the intuitionistic fuzzy(IF) goal for a choice
of a strategy in a payoff matrix in order to incorporate ambiguity of human
judgements; a player wants to maximize his/her degree of attainment of the IF
goal. It is shown that this solution is the optimal solution of a mathematical
programming problem. Finally, we present a numerical example to illustrate
the methodology.

Keywords

References

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Iranian Journal of Fuzzy Systems
Volume 7, Issue 1 - Serial Number 1
January and February 2010
Pages 65-79

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