锥连续锥拟凹多目标规划问题弱有效解集的连通性  

On the Connectedness of the Set of Weakly EfficientSolutions for Cone-continuous and Cone-quasiconcaveMultiobjective Programming Problem

作　　者：施斗山[1] 柴惠文[2] 王引观[2] 

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

出　　处：《应用数学与计算数学学报》2002年第1期61-66,共6页Communication on Applied Mathematics and Computation

摘　　要：本文讨论了锥连续锥拟凹向量函数的弱有效解集的连通性问题;证明了当可行集X为紧凸集,目标函数f在X上锥连续锥拟凹时,其弱有效解集是连通的,在一定的意义下,改进了文献[1]中的结果.In this paper, we discuss the problem on the connectedness of the weakly efficient solutions set defined by a cone-continuous and cone-quasiconcave vector function. It is show that the set of weakly efficient solutions is connected when the feasible set X is compact and the objective function f is cone-continuous and cone-quasiconcave.

关 键 词：多目标规划 锥连续 锥拟凹 弱有效解集 连通性 

分 类 号：O221.6[理学—运筹学与控制论]