西安电子科技大学学报(自然科学版)2001,Vol.28Issue(1):79-82,4.
多目标主从向量集值优化Benson真有效解的连通性
Connectedness of Benson proper efficiency in vector top-base optimization of set-valued maps
摘要
Abstract
Connectedness of Benson proper efficient set and Benson properefficient solution set of vector optimization of set-valued maps are investigated. The results obtained actually imply that the Benson proper efficient set of the objective space is connected when the objective function is cone-subconvexlike, and that if the objective function is a cone convex set-valued mapping, the Benson proper efficient solution set is connected too. As an interesting application of the results, the connectednesses of the Benson proper efficient set and the Benson proper efficient solution set for the vector top-base optimization of set-valued maps are obtained.关键词
向量集值优化/Benson真有效性/连通性分类
数理科学引用本文复制引用
盛宝怀,刘三阳..多目标主从向量集值优化Benson真有效解的连通性[J].西安电子科技大学学报(自然科学版),2001,28(1):79-82,4.基金项目
陕西省自然科学基金资助项目 ()