Stability of multiobjective NLP problems with fuzzy parameters in the objectives and constraints functions

作     者：Ammar, EE 

作者机构：Department of Mathematics Faculty of Science Tanta University Tanta Egypt 

出 版 物：《FUZZY SETS AND SYSTEMS》 (Fuzzy Sets Syst)

年 卷 期：1997年第90卷第3期

页      面：225-234页

核心收录：

学科分类：07[理学] 0714[理学-统计学（可授理学、经济学学位）] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 070101[理学-基础数学] 

主　　题：multiobjective NLP fuzzy programming fuzzy numbers alpha-optimality parametric analysis stability 

摘      要：This paper deals with the stability of multiobjective nonlinear programming problems with fuzzy parameters in the objectives and constraints functions. These fuzzy parameters are characterized by fuzzy numbers. The existing results concerning the qualitative analysis of the notions (solvability set, stability sets of the first kind and of the second kind) 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. (C) 1997 Elsevier Science B.V.