摘要
本文研究集值映射多目标优化超有效解集的连通性,在目标映射为锥上半连续和 锥拟凸的条件下,证明了其超有效解集是连通的.
In this paper, we investigate the connectedness of the super-efficient solution set of multiobjective optimization with set-valued mapping. Under the condition that the objective mapping is cone upper semicontinuous and cone quasiconvex, we prove the connectedness results of the set of super efficient solutions to multiobjective optimization with set-valued mapping.
出处
《系统科学与数学》
CSCD
北大核心
2003年第2期163-169,共7页
Journal of Systems Science and Mathematical Sciences
关键词
锥拟凸集值映射
多目标优化
超有效解集
锥上半连续
拓扑结构
有效点
连通性
K-序列紧集
Set-valued mapping, multiobjective optimization, super efficient solution, cone upper semicontinuity, cone quasiconvex mapping, connectedness.
