江西科学2024,Vol.42Issue(1) :7-11,76.DOI:10.13990/j.issn1001-3679.2024.01.002

带参数集值向量优化问题ε-强有效点集的连通性

Connectedness of ε-strong Effective Point Set for Set-valued Vector Optimization Problems with Parameters

徐梦豪 章勤 朱彬
江西科学2024,Vol.42Issue(1) :7-11,76.DOI:10.13990/j.issn1001-3679.2024.01.002

带参数集值向量优化问题ε-强有效点集的连通性

Connectedness of ε-strong Effective Point Set for Set-valued Vector Optimization Problems with Parameters

徐梦豪 1章勤 2朱彬1
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作者信息

  • 1. 赣东学院基础部,344000,江西,抚州
  • 2. 抚州市第二实验学校数学组,344000,江西,抚州
  • 折叠

摘要

主要研究了带参数ε-强有效点集的连通性.首先在局部凸的Hausdorff拓扑线性空间中引进了带参数的ε-强有效点集的概念,然后在可行域为弧连通紧、目标函数为C-弧连通的集值映射的情况下,证明了ε-强有效点集非空并得到了带参数的ε-强有效点集的连通性.

Abstract

In this paper,we study the connectivity of ε-strong effective point sets with parameters.Firstly we introduce the concept of ε-strong effective point set with parameters in locally convex Hausdorff topological linear space.Then,under the condition that the feasible region is arcwise con-nected and compact,and the objective function is C-arcwise connected set-valued mapping,we prove the ε-strong effective point set is nonempty and obtain the connectedness of ε-strong efficient solution set with parameters.

关键词

连通性/集值映射/带参数ε-强有效点

Key words

connectedness/set-valued mapping/ε-strong effective points with parameters

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出版年

2024
江西科学
江西省科学院

江西科学

影响因子:0.286
ISSN:1001-3679
参考文献量4
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