锥有效拟凹集的有效点集的连通性(英文)  

Connectedness of the Efficient Point Set for the Cone Efficient Quasiconcave Set

作　　者：施斗山[1] 王引观[2] 柴惠文[2] 

机构地区：[1]浙江财经学院信息学院,杭州310012 [2]嘉兴学院,浙江嘉兴314001

出　　处：《运筹学学报》2002年第2期61-68,共8页Operations Research Transactions

摘　　要：本文引进了锥有效拟凹集的概念,讨论了R+m-严格拟凹与R+m-有效拟凹的关系,证明了一个紧集为锥有效拟凹且其有效点集为闭集时,这个有效点集是连通的.In this paper, the concept of the cone efficient quasiconcave set is introduced and a relationship between the R+m-strictly quasiconcave set and the R+m-efficient quasiconcave set is discussed. Under conditions that a compact set is cone efficient quasiconcave and its efficient point set is closed, we prove that the efficient point set is connected.

关 键 词：锥有效拟凹集 最大锥下界 锥有效点集 连通性 向量优化问题 

分 类 号：O224[理学—运筹学与控制论]