Qualitative Properties of Robust Benson Efficient Solutions of Uncertain Vector Optimization Problems

被引:0
作者
Anh, Lam Quoc [1 ]
Thuy, Vo Thi Mong [2 ,3 ,4 ]
Zhao, Xiaopeng [5 ]
机构
[1] Can Tho Univ, Teacher Coll, Dept Math, Can Tho, Vietnam
[2] Univ Sci, Fac Math & Comp Sci, Ho Chi Minh City, Vietnam
[3] Vietnam Natl Univ, Ho Chi Minh City, Vietnam
[4] Tay Do Univ, Dept Math, Can Tho City, Vietnam
[5] Tiangong Univ, Sch Math Sci, Tianjin 300387, Peoples R China
关键词
Uncerntain vector optimization; Optimality condition; Stability; Well-posedness; Robust Benson efficient solution; Free disposal set; Scalarization method; APPROXIMATE SOLUTIONS; OPTIMALITY CONDITIONS; SADDLE-POINTS; RESPECT; MAXIMIZATION;
D O I
10.1007/s10957-025-02638-z
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
In this paper, we consider both unconstrained and constrained uncertain vector optimization problems involving free disposal sets, and study the qualitative properties of their robust Benson efficient solutions. First, we discuss necessary and sufficient optimality conditions for the robust Benson efficient solutions of these problems using the linear scalarization method. Then, by utilizing this approach, we investigate the semicontinuity properties of the solution maps when the problem data is perturbed by parameters given in parameter spaces. Finally, we suggest concepts of approximate robust Benson efficient solutions and investigate Hausdorff well-posedness conditions for such problems with respect to these approximate solutions. Several examples are provided to illustrate the applicability and novelty of the results obtained in this study.
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页数:37
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