Interactive stability of multiobjective NLP problems with fuzzy parameters in the objective functions and constraints
This paper deals with an interactive stability of multiobjective nonlinear programming problems with fuzzy parameters in the objective functions and constraints. These fuzzy parameters are characterized, by fuzzy numbers. The existing results concerning the qualitative analysis set of the first kind are reformulated to study this set under the concept of alpha-pareto optimality. An interactive algorithm for obtaining the alpha-best-compromise and obtaining any subset of the parametric space which has the same corresponding alpha-pareto optimal solution is also presented. An illustrative example is given. (C) 2000 Elsevier Science B.V. All rights reserved.
stability multiobjective nlp fuzzy numbers alpha-pareto optimality decision making