多面体集下多目标优化问题近似解的若干性质

运筹学学报 ›› 2013, Vol. 17 ›› Issue (2): 48-52.

多面体集下多目标优化问题近似解的若干性质

高英^1,*

1. 重庆师范大学数学学院，重庆 400047

收稿日期:2012-09-03 出版日期:2013-06-15 发布日期:2013-06-15
通讯作者: 高英 E-mail:gaoying5324@163.com
基金资助:
国家自然科学基金 (Nos. 11126348, 11226233, 11201511), 重庆市自然科学基金 (CSTC, 2011BA0030), 重庆市教委项目 (No. KJ110624), 重庆市重点项目专项项目 (CSTC,2011KLORSE03)

Some properties of approximate solutions for multiobjective optimization problems with respect to polyhedral set

GAO Ying^1,*

1. Department of Mathematics, Chongqing Normal University, Chongqing 400047, China

Received:2012-09-03 Online:2013-06-15 Published:2013-06-15

摘要/Abstract

摘要： 研究了多目标优化问题的近似解. 首先证明了多面体集是 co-radiant集，并证明了一些性质. 随后研究了多面体集下多目标优化问题近似解的特殊性质.

关键词: 多目标优化, 多面体集, 近似解

Abstract: In this paper, we consider approximate solutions for multiobjective optimization problems. First, we prove polyhedral set is co-radiant set, and present some properties for this special co-radiant set. And then, we present some properties for approximate solutions with respect to polyhedral set.

中图分类号:

O221.6

高英. 多面体集下多目标优化问题近似解的若干性质[J]. 运筹学学报, 2013, 17(2): 48-52.

GAO Ying. Some properties of approximate solutions for multiobjective optimization problems with respect to polyhedral set[J]. Operations Research Transactions, 2013, 17(2): 48-52.

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