Relationships between interval-valued vector optimization problems and vector variational inequalities

被引：20

作者：

Zhang, Jianke ^{[1
,2
]}

Zheng, Qinghua ^{[1
]}

Ma, Xiaojue ^{[2
]}

Li, Lifeng ^{[2
]}

机构：

[1] Xi An Jiao Tong Univ, Dept Comp, Xian 710049, Peoples R China

[2] Xian Univ Posts & Telecommun, Sch Sci, Dept Math, Xian, Peoples R China

来源：

FUZZY OPTIMIZATION AND DECISION MAKING | 2016年 / 15卷 / 01期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

Interval-valued vector optimization problems; Vector variational inequalities; Approximate convexity; TUCKER OPTIMALITY CONDITIONS; PROGRAMMING-PROBLEMS; INVEXITY; DUALITY;

D O I：

10.1007/s10700-015-9212-x

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, we study some relationships between interval-valued vector optimization problems and vector variational inequalities under the assumptions of LU-convex smooth and non-smooth objective functions. We identify the weakly efficient points of the interval-valued vector optimization problems and the solutions of the weak vector variational inequalities under smooth and non-smooth LU-convexity assumptions.

引用

页码：33 / 55

页数：23

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