Scalarization for characterization of approximate strong/weak/proper efficiency in multi-objective optimization

被引：31

作者：

Ghaznavi-Ghosoni, B. A. ^{[1
]}

Khorram, E. ^{[1
]}

Soleimani-damaneh, M. ^{[2
]}

机构：

[1] Amirkabir Univ Technol, Fac Math & Comp Sci, Tehran 15914, Iran

[2] Univ Tehran, Coll Sci, Sch Math Stat & Comp Sci, Tehran, Iran

来源：

OPTIMIZATION | 2013年 / 62卷 / 06期

关键词：

multi-objective programming; E-(strong; weak; proper); efficiency; approximation methods; scalarization techniques; EPSILON-DUALITY THEOREM; VECTOR OPTIMIZATION; OPTIMALITY CONDITIONS; PROPER EFFICIENCY; RESPECT; SET;

D O I：

10.1080/02331934.2012.668190

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this article, approximate solutions of multi-objective optimization problems are analysed. The notion of approximate solution suggested by Kutateladze is dealt with, and, utilizing different scalarization approaches, some necessary and sufficient conditions for E-(strong, weak, proper) efficiency are provided. Almost all of the provided results are established without any convexity assumption.

引用

页码：703 / 720

页数：18

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