向量优化中基于拟内部的弱C(\varepsilon)-有效解的标量化

doi:10.15960/j.cnki.issn.1007-6093.2016.02.012

运筹学学报

• 运筹学 • 上一篇

向量优化中基于拟内部的弱C(\varepsilon)-有效解的标量化

张万里¹夏远梅¹赵克全^1,*

1. 重庆师范大学数学科学学院, 重庆 401331

收稿日期:2015-01-04 出版日期:2016-06-15 发布日期:2016-06-15
通讯作者: 赵克全 kequanz@163.com
基金资助:
国家自然科学基金(Nos. 11271391, 11301574), 第二批重庆市高等学校青年骨干教师资助计划, 重庆市研究生科研创新项目(Nos. CYS14136, CYS15154)

Scalarization of weakly C(\varepsilon)-efficient solutions via quasi interior in vector optimization

ZHANG Wanli¹ XIA Yuanmei¹ZHAO Kequan^1,*

1. College of Mathematics Science, Chongqing Normal University, Chongqing 401331, China

Received:2015-01-04 Online:2016-06-15 Published:2016-06-15

摘要/Abstract

摘要：

首先获得了co-radiant集的一些拟内部性质. 进而在邻近C(\varepsilon)-次似凸性假设条件下, 建立了相应的择一性定理, 并给出了基于拟内部的集值向量优化问题弱C(\varepsilon)-有效解的线性标量化结果.

关键词: 向量优化, 拟内部, co-radiant集, 弱C(\varepsilon)-有效解, 标量化

Abstract:

In this paper, some characterizations of co-radiant sets via quasi interior are obtained. Furthermore, under the nearly C(\varepsilon)-subconvexlikeness, an alternative theorem is established and a linear scalarization result of weakly C(\varepsilon)-efficient solutions via quasi interior is given for a class of vector optimization problems with set-valued maps.

Key words: vector optimization, quasi interior, co-radiant sets, weakly C(\varepsilon)-efficient solutions, scalarization

张万里, 夏远梅, 赵克全. 向量优化中基于拟内部的弱C(\varepsilon)-有效解的标量化[J]. 运筹学学报, doi: 10.15960/j.cnki.issn.1007-6093.2016.02.012.

ZHANG Wanli, XIA Yuanmei, ZHAO Kequan. Scalarization of weakly C(\varepsilon)-efficient solutions via quasi interior in vector optimization[J]. Operations Research Transactions, doi: 10.15960/j.cnki.issn.1007-6093.2016.02.012.

参考文献

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向量优化中基于拟内部的弱C(\varepsilon)-有效解的标量化

Scalarization of weakly C(\varepsilon)-efficient solutions via quasi interior in vector optimization

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