THREE CONCEPTS OF ROBUST EFFICIENCY FOR UNCERTAIN MULTIOBJECTIVE OPTIMIZATION PROBLEMS VIA SET ORDER RELATIONS

被引：4

作者：

Wei, Hong-Zhi ^{[1
]}

Chen, Chun-Rong ^{[1
]}

机构：

[1] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China

来源：

JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION | 2019年 / 15卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Uncertain multiobjective optimization; robust efficiency; set order relations; robustness; VECTOR OPTIMIZATION; PROGRAMS;

D O I：

10.3934/jimo.2018066

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, we propose three concepts of robust efficiency for uncertain multiobjective optimization problems by replacing set order relations with the minmax less order relation, the minmax certainly less order relation and the minmax certainly nondominated order relation, respectively. We make interpretations for these concepts and analyze the relations between new concepts and the existent concepts of efficiency. Some examples are given to illustrate main concepts and results.

引用

页码：705 / 721

页数：17

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