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THE CHARACTERIZATION OF EFFICIENCY AND SADDLE POINT CRITERIA FOR MULTIOBJECTIVE OPTIMIZATION PROBLEM WITH VANISHING CONSTRAINTS

THE CHARACTERIZATION OF EFFICIENCY AND SADDLE POINT CRITERIA FOR MULTIOBJECTIVE OPTIMIZATION PROBLEM WITH VANISHING CONSTRAINTS
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摘要 In this article, we focus to study about modified objective function approach for multiobjective optimization problem with vanishing constraints. An equivalent η-approximated multiobjective optimization problem is constructed by a modification of the objective function in the original considered optimization problem. Furthermore, we discuss saddle point criteria for the aforesaid problem. Moreover, we present some examples to verify the established results. In this article, we focus to study about modified objective function approach for multiobjective optimization problem with vanishing constraints. An equivalent η-approximated multiobjective optimization problem is constructed by a modification of the objective function in the original considered optimization problem. Furthermore, we discuss saddle point criteria for the aforesaid problem. Moreover, we present some examples to verify the established results.
出处 《Acta Mathematica Scientia》 SCIE CSCD 2019年第2期382-394,共13页 数学物理学报(B辑英文版)
基金 financially supported by the CSIR,New Delhi,India through Grant no.:25(0266)/17/EMR-II
关键词 MULTIOBJECTIVE optimization problem with VANISHING CONSTRAINTS efficient solution INVEXITY η-Lagrange function SADDLE point multiobjective optimization problem with vanishing constraints efficient solution invexity η-Lagrange function saddle point
分类号 O [理学]
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