Hartley properly and super nondominated solutions in vector optimization with a variable ordering structure

被引：8

作者：

Shahbeyk, Shokouh ^{[1
]}

Soleimani-damaneh, Majid ^{[1
]}

Kasimbeyli, Refail ^{[2
]}

机构：

[1] Univ Tehran, Coll Sci, Sch Math Stat & Comp Sci, Enghelab Ave, Tehran, Iran

[2] Anadolu Univ, Dept Ind Engn, Iki Eylul Campus, TR-26555 Eskisehir, Turkey

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2018年 / 71卷 / 02期

基金：

美国国家科学基金会;

关键词：

Vector optimization; Variable ordering structure (VOS); Properly nondominated solution; Super nondominated solution; Augmented dual cone; Linear scalarization; Variational analysis; APPROXIMATE SOLUTIONS; OPTIMAL ELEMENTS; DOMINATION STRUCTURES; CONE-CONVEXITY; EFFICIENCY; SCALARIZATION; RESPECT; THEOREM; MAXIMIZATION; EXISTENCE;

D O I：

10.1007/s10898-018-0614-5

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 paper, we introduce Hartley properly and super nondominated solutions in vector optimization with a variable ordering structure. We prove the connections between Benson properly nondominated, Hartley properly nondominated, and super nondominated solutions under appropriate assumptions. Moreover, we establish some necessary and sufficient conditions for newly-defined solutions invoking an augmented dual cone approach, the linear scalarization, and variational analysis tools. In addition to the theoretical results, various clarifying examples are given.

引用

页码：383 / 405

页数：23

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