STABILITY OF MULTIOBJECTIVE NONLINEAR-PROGRAMMING PROBLEMS WITH FUZZY PARAMETERS

This paper deals with multiobjective nonlinear programming problems with fuzzy parameters in the objective functions. These fuzzy parameters are characterized by fuzzy numbers. The existing results concerning the qualitative analysis of some basic notions in parametric nonlinear programming problems are reformulated to study the stability of multiobjective nonlinear programming problems under the concept of alpha-pareto optimality. An algorithm for obtaining any subset of the parametric space which has the same corresponding alpha-pareto optimal solution is also presented. An illustrative example is given to clarify the obtained results.