几乎C-类凸集值映射向量优化问题超有效点集的连通性  

Connectedness of Super-Efficient Point Sets for Vector Optimization of nearly convex-like Set-Valued Maps

作　　者：张勇[1] 

机构地区：[1]吉首大学数学与计算机科学学院,湖南吉首416000

出　　处：《西安文理学院学报（自然科学版）》2008年第3期45-48,共4页Journal of Xi’an University(Natural Science Edition)

摘　　要：利用集值最优化问题所引入的超有效解的概念,在Hausdorff拓扑空间中利用标量化的方法讨论了当目标函数为几乎C-类凸的集值映射时,其目标空间里的超有效点集是连通的.The concept of super efficient solution in set - valued vector optimization problem was used. In the topological space, the scalar approach showed that when the objective function was nearly convex-like mapping, the objective space of the super-efficient point sets was connected.

关 键 词：多目标最优化 几乎C-类凸 超有效点 连通性 

分 类 号：O177.91[理学—数学]