Fuzzy Based Genetic Algorithm for Multicriteria Entropy Matrix Goal Game

This paper analyzes a multicriteria matrix goal game under entropy environment. Here a new game model known as multicriteria entropy matrix goal Game is formulated. Multiobjective non-linear programming model for each player is established. The concept of Pareto-optimal security strategy assures the property of security in the individual criteria against an opponent’s deviation in strategy; however the idea is based on expected values, so that this security might be violated by mixed strategy when replications are not allowed. To avoid this inconvenience, we propose the G-goal security strategy, which includes as a part of solution with the probability of obtaining presanctified values of the payoff functions when the players are want to maximize the information about their strategies. A numerical example is included to illustrate the results in the paper. c ©2009 World Academic Press, UK. All rights reserved.