E-Borwein真有效解的刻画

唐莉萍; 杨玉红

doi:10.21656/1000-0887.380238

E-Borwein真有效解的刻画

doi: 10.21656/1000-0887.380238

唐莉萍¹,
杨玉红^2,3

¹重庆工商大学数学与统计学院,重庆 400067;²内蒙古大学数学科学学院, 呼和浩特 010021;³长江师范学院数学与统计学院,重庆 408100

基金项目: 国家自然科学基金(11431004; 11626048; 11701057)；重庆市科委项目(cstc2016jcyjA0178)；重庆市教委项目(KJ1600613)

详细信息

作者简介:
唐莉萍（1985—），女，副教授，博士(通讯作者. E-mail: tanglipings@163.com)；杨玉红（1979—），女，讲师，博士生.

中图分类号: O221.2|O221.6
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- 被引次数: 0
出版历程
- 收稿日期: 2017-08-24
- 修回日期: 2017-10-10
- 刊出日期: 2017-12-15

Characterizations of E-Borwein Properly Efficient Solutions

TANG Li-ping¹,
YANG Yu-hong^2,3

¹College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, P.R.China;²School of Mathematical Sciences,Inner Mongolia University, Hohhot 010021, P.R.China;³School of Mathematics and Statistics, Yangtze Normal University,Chongqing 408100, P.R.China

Funds: The National Natural Science Foundation of China(11431004; 11626048; 11701057)

摘要

摘要: 基于Borwein真有效解的思想，利用free disposal集提出了向量优化问题的一类近似Borwein真有效解概念，建立了其与E-Benson真有效解间的等价关系
- 向量优化问题 /
- free disposal集 /
- E-Borwein真有效解 /
- E-Benson真有效解
Abstract: Based on the idea of Borwein properly efficient solutions, a new concept of approximate Borwein properly efficient solutions for vector optimization problems was proposed via free disposal sets. Equivalent relations were established between the approximate Borwein properly efficient solutions and the E-Benson properly efficient solutions.
- vector optimization problem /
- free disposal set /
- E-Borwein properly efficient solution /
- E-Benson properly efficient solution

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参考文献(17)

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