A fuzzy approach for equilibrium programming with simulated annealing algorithm

Equilibrium programming (EP) is an active topic in mathematical programming. For the EP problem with the fuzzy optimal membership function in objectives and the penalty function in constraints, we propose a new fuzzy approach with simulated annealing algorithm to get the fuzzy optimal solution. The approach provides the decision-makers with a group of fuzzy optimal solutions on similarly fuzzy optimal grade, so that the equilibrium decision can be obtained easily and more reasonably. The numerical simulation of example demonstrates the feasibility and effectiveness of the approach.