序扰动多目标规划的锥次微分稳定性  

THE CONE-SUBDIFFERENTIAL STABILITY OF MULTIOBJECTIVE PROGRAMMING WITH PERTURBED ORDER

作　　者：胡毓达[1] 孟志青[2] 

机构地区：[1]温州大学数学与信息科学学院,温州325027 [2]湘潭大学计算机科学系,湘潭411105

出　　处：《系统科学与数学》2000年第4期439-446,共8页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金!(No:79670056);湖南省教委科研基金资助课题.

摘　　要：对于局部凸拓扑向量空间的多目标规划问题，本文研究并得到当确定空间序的控制锥受扰动，它们的锥有效点（解）集和锥弱有效点（解）集分别在锥次微分和锥弱次微分意义下的稳定性结果．In this paper,under given some condition we have proved existence of the subdifferential of the point sets mapping in local convex topological vector spaces. Meanwhile, we have gotten stability for the subdifferential of cone efficient point(solution) sets and cone weakly efficient point(solution) sets of multiobjective programming with respect to perturbation of cone respectively.

关 键 词：多目标规划 锥次微分 稳定性 锥有效性 锥有效解 序扰动 

分 类 号：O221[理学—运筹学与控制论]