Interactive stability of multiobjective nonlinear programming problems with fuzzy parameters in the constraints

This paper deals with an interactive stability of multiobjective nonlinear programming problems with fuzzy parameters in the constraints. These fuzzy parameters are characterized by fuzzy numbers. The existing results concerning the qualitative analysis of stability set of the first kind are reformulated to study this stability set of first kind under the concept of α-pareto optimality. An interactive algorithm for obtaining the α-best compromise solution and obtaining any subset of the parametric space which has the same corresponding α-pareto optimal solution is also presented. An illustrative example is given to clarify the obtained results.