锥上半连续锥拟凸集值映射多目标优化超有效解集的连通性  

CONNECTEDNESS OF THE SUPER EFFICIENT SOLUTION SET OF MULTIOBJECTIVE OPTIMIZATION WITH CONE UPPER SEMICONTINUOUS CONE QUASICONVEX SET-VALUED MAPPING

作　　者：凌晨[1] 

机构地区：[1]浙江财经学院统计运筹系,杭州310012

出　　处：《系统科学与数学》2003年第2期163-169,共7页Journal of Systems Science and Mathematical Sciences

摘　　要：本文研究集值映射多目标优化超有效解集的连通性,在目标映射为锥上半连续和 锥拟凸的条件下,证明了其超有效解集是连通的.In this paper, we investigate the connectedness of the super-efficient solution set of multiobjective optimization with set-valued mapping. Under the condition that the objective mapping is cone upper semicontinuous and cone quasiconvex, we prove the connectedness results of the set of super efficient solutions to multiobjective optimization with set-valued mapping.

关 键 词：锥拟凸集值映射 多目标优化 超有效解集 锥上半连续 拓扑结构 有效点 连通性 K-序列紧集 

分 类 号：O224[理学—运筹学与控制论]