带参数集值向量优化问题ε-强有效点集的连通性  

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

作　　者：徐梦豪 章勤 朱彬 XU Menghao;ZHANG Qin;ZHU Bin(Basic Department,Gandong University,344000,Fuzhou,Jiangxi,PRC;Fuzhou Secong Experimental School,344000,Fuzhou,Jiangxi,PRC)

机构地区：[1]赣东学院基础部,江西抚州344000 [2]抚州市第二实验学校数学组,江西抚州344000

出　　处：《江西科学》2024年第1期7-11,76,共6页Jiangxi Science

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

关 键 词：连通性 集值映射 带参数ε-强有效点 

分 类 号：O224[理学—运筹学与控制论]