1994 Volume 6 Issue 1 Pages 152-165,222
Equilibrium solutions in terms of an attainment degree of a fuzzy goal for games in fuzzy and multiobjective environments are examined. We introduce a fuzzy goal for a payoff in order to incorporate ambiguity of human judgements and assume that a player tries to maximize his attainment degree of the fuzzy goal. A fuzzy goal for a payoff and the equilibrium solution with respect to an attainment degree of a fuzzy goal are defined. Two basic methods, one by weighting coefficients and the other by a minimum component, are employed to aggregate multiple fuzzy goals. When membership functions are linear functions, the computational methods for the equilibrium solutions are developed. It is shown that hte equilibrium solutions are equal to optimal solutions to mathematical programming problems in both cases. The relations between equilibrium solutions for multiobjective bimatrix games incorporating fuzzy goals and the Pareto optimal equilibrium solutions are considered.
