摘要
基于 α-较多锥 ,引进了 Hα-外稳定、Hα-共轭映射和 Hα-次微分的概念 ,并给出了它们的基本性质以及 Hα-次微分的存在性定理 .然后对一般类型的多目标规划问题 ,定义了 Hα-共轭对偶问题 ,证明了弱对偶定理 ,并利用 Hα-次可微性证明了在一定条件下的强对偶定理 .最后 ,将得到的结论用于一类含有不等式约束的多目标规划问题 ,得到了关于
The H α conjugate map and H α subdifferential were defined based on the α major cone, and the existence theorem for H α subdifferential was given. The H α conjugate duality programming for general multiobjective programming and its weak duality theorem were proposed. Then the strong duality theorem under some conditions was proved using H α subdifferential. At last, the weak and strong duality properties for a class of multiobjective programming with nonequality constraints were discussed.
出处
《上海交通大学学报》
EI
CAS
CSCD
北大核心
2000年第4期571-575,共5页
Journal of Shanghai Jiaotong University
