非光滑多目标分式规划的对偶性  

Duality in Nonsmooth Multiobjective Fractional Programming

作　　者：刘三明[1] 高克权[1] 

机构地区：[1]洛阳工学院基础部

出　　处：《工程数学学报》1998年第1期105-108,112,共5页Chinese Journal of Engineering Mathematics

摘　　要：利用方向导数对非光滑函数引入了伪凸、严格伪凸和拟凸等概念，给出了非光滑多目标分式规划的对偶问题，并证明了弱对偶定理、强对偶定理及严格对偶定理．Abstract In this paper, several concepts such as pseudoconvex, strictly pseudoconvex and quasiconvex for nonsmooth functions are presented by directional derivatives. A dual problem is introduced and duality theorems such as weak duality theorem, strong duality theorem, strickly converse duality theorem are proved.

关 键 词：多目标分式规划 对偶问题 

分 类 号：O221.2[理学—运筹学与控制论]