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

Jianke Zhang; Qinghua Zheng; Xiaojue Ma; Lifeng Li

doi:10.1007/s10700-015-9212-x

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

Jianke Zhang
, Qinghua Zheng
, Xiaojue Ma
, Lifeng Li

Faculty of Electronic and Information Engineering

Research output: Contribution to journal › Article › peer-review

29 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	33-55
Number of pages	23
Journal	Fuzzy Optimization and Decision Making
Volume	15
Issue number	1
DOIs	https://doi.org/10.1007/s10700-015-9212-x
State	Published - 1 Mar 2016

Keywords

Approximate convexity
Interval-valued vector optimization problems
Vector variational inequalities

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10.1007/s10700-015-9212-x

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title = "Relationships between interval-valued vector optimization problems and vector variational inequalities",

abstract = "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.",

keywords = "Approximate convexity, Interval-valued vector optimization problems, Vector variational inequalities",

author = "Jianke Zhang and Qinghua Zheng and Xiaojue Ma and Lifeng Li",

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AU - Zhang, Jianke

AU - Zheng, Qinghua

AU - Ma, Xiaojue

AU - Li, Lifeng

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Y1 - 2016/3/1

N2 - 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.

AB - 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.

KW - Approximate convexity

KW - Interval-valued vector optimization problems

KW - Vector variational inequalities

UR - https://www.scopus.com/pages/publications/84958772857

U2 - 10.1007/s10700-015-9212-x

DO - 10.1007/s10700-015-9212-x

M3 - 文章

AN - SCOPUS:84958772857

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SP - 33

EP - 55

JO - Fuzzy Optimization and Decision Making

JF - Fuzzy Optimization and Decision Making

IS - 1

ER -

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

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Keywords

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