摘要
研究集值映射多目标优化问题超有效解集的连通性,在目标映射为锥上半连续和锥弱近似拟凸的条件下,应用广义凸性研究中的一些结论,证明了超有效解集是连通的。
We study the connectedness of the super efficient solution sets of multiobjective optimization with set-valued mapping. The connectedness are established for multiobjective optimization with cone upper semicontinuous and cone weak nearly quasiconvex set-valued mapping by applying some results in the study of generalized convexity.
出处
《贵州大学学报(自然科学版)》
2006年第1期1-5,共5页
Journal of Guizhou University:Natural Sciences
基金
贵州省科技厅基金课题No2003301
关键词
集值映射
超有效解
连通
基
Set-valued mapping
Super efficient solution
Conneetedness
Base.