向量优化中\varepsilon-真有效解的非线性标量化性质

运筹学学报 ›› 2014, Vol. 18 ›› Issue (4): 58-64.

向量优化中\varepsilon-真有效解的非线性标量化性质

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:2014-02-04 出版日期:2014-12-15 发布日期:2014-12-15
通讯作者: 赵克全 E-mail:kequanz@163.com
基金资助:
国家自然科学基金(Nos. 11301574, 11271391), 重庆市自然科学基金(No. cstc2012jjA00002), 重庆师范大学博士基金(No. 13XLB029), 第二批重庆市高等学校青年骨干教师资助计划

Nonlinear scalarization characterizations for \varepsilon-properly efficient solutions in vector optimization

XIA Yuanmei¹, ZHAO Kequan^1,*

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

Received:2014-02-04 Online:2014-12-15 Published:2014-12-15

摘要/Abstract

摘要： 利用G\"{o}pfert等提出的非线性标量化函数给出了向量优化中\varepsilon-真有效解的一个非线性标量化性质, 并提出几个例子对主要结果进行了解释.

关键词: 向量优化, \varepsilon-真有效解, 非线性标量化

Abstract: In this paper, a nonlinear scalarization characterization of \varepsilon-properly efficient solutions is given by means of a kind of nonlinear scalarization function proposed by G\"{o}pfert et al. for vector optimization problems. And several examples are proposed to illustrate the main results.

Key words: vector optimization, \varepsilon-properly efficient solutions, nonlinear scalarization

中图分类号:

O221.6

夏远梅, 赵克全. 向量优化中\varepsilon-真有效解的非线性标量化性质[J]. 运筹学学报, 2014, 18(4): 58-64.

XIA Yuanmei, ZHAO Kequan. Nonlinear scalarization characterizations for \varepsilon-properly efficient solutions in vector optimization[J]. Operations Research Transactions, 2014, 18(4): 58-64.

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