多目标主从优化问题锥有效解的存在性

Existence for Cone Efficient Solutions of Multiobjective Top-Base Optimization Problems

本文借助于集值函数的概念 ,建立了一类多目标主从优化问题严格的数学模型 ;在要求模型中的可行域、构成函数及其诱导的集值函数满足一定的紧性、一致紧性和连续性等条件下 。

By virtue of the concept of set-valued function, the rigorous mathmatical model for multiobjective top-base optimization problems (MTBOP) is established and the existence theorem for cone efficient solutions of (MTBOP) is obtained under the assumptions that the feasible set, the constituting-functions, and the set-valued functions induced satisfy certain compactness, uniformly compactness, and continuity.