Properly optimal elements in vector optimization with variable ordering structures

被引：27

作者：

Eichfelder, Gabriele ^{[1
]}

Kasimbeyli, Refail ^{[2
]}

机构：

[1] Tech Univ Ilmenau, Inst Math, D-98684 Ilmenau, Germany

[2] Anadolu Univ, Fac Engn, Dept Ind Engn, TR-26470 Eskisehir, Turkey

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2014年 / 60卷 / 04期

关键词：

Vector optimization; Variable ordering structure; Proper efficiency; Scalarization; RADIAL EPIDERIVATIVES; SCALARIZATION; EFFICIENCY; RESPECT; THEOREM; POINTS;

D O I：

10.1007/s10898-013-0132-4

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, proper optimality concepts in vector optimization with variable ordering structures are introduced for the first time and characterization results via scalarizations are given. New type of scalarizing functionals are presented and their properties are discussed. The scalarization approach suggested in the paper does not require convexity and boundedness conditions.

引用

页码：689 / 712

页数：24

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