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.