多目标最优化锥有效解集连通性的一个关系  

A Relation about Connectedness of Cone-Efficient Solution Sets in Multiobjective Optimization

作　　者：胡毓达 

出　　处：《上海交通大学学报》1995年第2期87-91,共5页Journal of Shanghai Jiaotong University

基　　金：国家自然科学基金

摘　　要：本文考虑多目标最优化问题的锥有效解集与相应可达目标集的锥有效点集之间连通性的关系，给出并证明了它们同为连通集的充分必要条件．In this paper, the relation between connectedness of the cone-efficient solution set of multiobjective optimization problem and connectedness of the corresponding cone-efficient point set is considered, and a sufficient and necessary condition is provided.

关 键 词：多目标最优化 锥有效解 连通性 拓扑空间 

分 类 号：O189.11[理学—数学]