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
收藏
页码：33 / 55
页数：23
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