CONNECTEDNESS PROPERTIES OF EFFICIENT AND MINIMAL SETS TO VECTOR OPTIMIZATION PROBLEMS

被引：0

作者：

Anh L.Q. ^{[1
]}

Anh N.T. ^{[1
]}

Duoc P.T. ^{[2
]}

van Khanh L.T. ^{[1
]}

Thu P.T.A. ^{[3
]}

机构：

[1] Department of Mathematics, Teacher College, Can Tho University, Can Tho

[2] Faculty of Information Technology, Can Tho University of Technology, Can Tho

[3] Department of Mathematics, FPT University, Can Tho

来源：

Applied Set-Valued Analysis and Optimization | 2023年 / 5卷 / 01期

关键词：

Connectedness; Efficient and minimal sets; Scalarization method; Vector optimization problems;

D O I：

10.23952/asvao.5.2023.1.08

中图分类号：

学科分类号：

摘要：

In this paper, we investigate the approximate efficient solution and minimal sets of vector optimization problems. Firstly, we propose a new scalar function through the Gerstewitz function and discuss some of its properties. Secondly, we apply this scalar function to address the connectedness of the approximate efficient solution sets. Finally, the connectedness of the minimal sets is studied based on the above results. ©2023 Applied Set-Valued Analysis and Optimization.

引用

页码：121 / 135

页数：14

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