双扰动多目标规划锥有效解集的闭性和半连续性  

Closedness and Semicontinuity of Cone Efficient Solution Sets for Multiobjective Programming under Two Perturbations

作　　者：栗四海[1] 周轩伟[1] 刘鹏[1] 

机构地区：[1]温州大学数学与信息科学学院,浙江温州325035

出　　处：《温州大学学报（自然科学版）》2009年第5期8-15,共8页Journal of Wenzhou University(Natural Science Edition)

摘　　要：研究了一般拓扑向量空间中约束锥和控制锥同时受扰动时,锥有效点集和锥弱有效点集的闭性和半连续性.在此基础上,得到了约束锥和控制锥双扰动多目标规划问题的锥有效解集和锥弱有效解集的闭性和半连续性.The closedness and semicontinutiy for the cone efficient points and the cone weakly efficient points in perturbation of topological vector space＇s restraint cone and control cone were studied. On this basis, the closedness and semicontinuity for the cone efficient solutions set and the cone weakly efficient solutions set of multiobjective programming problem under two perturbations are obtained

关 键 词：多目标规划 锥有效点 锥有效解 半连续性 闭性 

分 类 号：O221[理学—运筹学与控制论]