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

电子与信息学部

Xi'an Jiaotong University
Xi'an Institute of Posts and Telecommunications

科研成果: 期刊稿件 › 文章 › 同行评审

29 引用（Scopus）

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.

源语言	英语
页（从-至）	33-55
页数	23
期刊	Fuzzy Optimization and Decision Making
卷	15
期	1
DOI	https://doi.org/10.1007/s10700-015-9212-x
出版状态	已出版 - 1 3月 2016

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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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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

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DO - 10.1007/s10700-015-9212-x

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

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