锥连续锥拟凹向量函数最大化问题有效解集的连通性(英文)  

Connectedness of the Efficient Set in Cone-continuous and Cone-quasiconcave Vector Maximization

作　　者：施斗山[1] 邓燕[2] 姚永芳[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3期51-60,共10页Operations Research Transactions

基　　金：This reseach was supported by the Department of Education of Zhejiang Province,China,Project20020502

摘　　要：本文讨论了锥连续函数及锥最大下界的性质,在此基础上讨论了锥连续锥拟凹向量函数最大化问题有效解集的连通性,证明了当象集为锥凸集时锥有效解集是连通的.In this paper, we investigate some properties of cone-continuous vector-valued functions and the greatest cone lower bound, and prove the connectedness of the cone, efficient solution set for a cone-continuous vector-valued cone-quasiconcave function under the condition that the image set is cone-convex.

关 键 词：锥连续 锥拟凹 向量函数 最大化问题 有效解集 连通性 多目标最优化 

分 类 号：O22[理学—运筹学与控制论]