A coradiant based scalarization to characterize approximate solutions of vector optimization problems with variable ordering structures

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• 作者：A. Sayadi-bander^a ; R. Kasimbeyli^b ; ^{rkasimbeyli@anadolu.edu.tr} ; L. Pourkarimi^c
• 关键词：Multiobjective optimization ; εε-Efficiency ; Variable ordering structures ; Scalarization
• 刊名：Operations Research Letters
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：45
• 期：1
• 页码：93-97
• 全文大小：387 K
• 卷排序：45

文摘

This paper investigates some properties of approximate efficiency in variable ordering structures where the variable ordering structure is given by a special set valued map. We characterize εε-minimal and εε- nondominated elements as approximate solutions of a multiobjective optimization problem with a variable ordering structure and give necessary and sufficient conditions for these solutions, via scalarization.