上图像拓扑与多目标优化问题加权解的通有稳定性  

Generic Stability of the Solutions in Weighted Multiobjective Optimization Problems in Epigraph Topology Case

作　　者：彭定涛[1] 曹素元[1] 

机构地区：[1]贵州大学蔡家关校区应用数学所,贵阳550003

出　　处：《运筹学学报》2006年第4期81-88,共8页Operations Research Transactions

基　　金：贵州省自然科学基金资助项目(黔基合计字20023107).

摘　　要：用函数的上图象之间的Hausdorff距离定义向量值函数间的距离,在此弱拓扑下研究了多目标优化问题加权解关于权因子和目标函数的稳定性,指出加权解关于权因子和目标函数是通有稳定的．The distance between two functions is defined by the Hausdorff distance between the epigraphs of the two functions. In this epigraph topology case, we research the stability of the solutions with respect to weight factors and objective functions. As results, we point out that, from the viewpoint of Baire＇s category, the solutions are generic stable with respect to the weight factors and the objective functions.

关 键 词：运筹学 多目标优化问题 usco映射 权因子 上图象拓扑 通有稳定的 

分 类 号：O224[理学—运筹学与控制论]