二层多目标规划的最优性条件

摘要

本文在集值优化的框架下提出了一个二层多目标规划模型(BLMOP).利用集值映射的相依导数和相依上导数,给出了几个有关(BLMOP)的弱有效解的必要或充分最优性条件.%This paper presents a bilevel multiobjective programming model (BLMOP) in the framework of set-valued optimization. Several sufficient or necessary optimality conditions about weak effecient solutions of (BLMOP) are given by using contingent derivative and contingent epiderivative for set-valued maps.