关于非光滑(F,α,ρ,d)-凸函数的多目标分式规划的对偶性  

Duality of Multiobjective Fractional Programming with Nonsmooth(F,α,ρ,d)-Convex Functions

作　　者：颜丽佳[1] 

机构地区：[1]重庆师范大学数学与计算机科学学院,重庆400047

出　　处：《西华师范大学学报（自然科学版）》2008年第1期24-28,共5页Journal of China West Normal University(Natural Sciences)

摘　　要：利用非光滑(F,α,ρ,d)-凸函数,考虑了一类非光滑的多目标分式规划的对偶问题,得到了相应的弱对偶、强对偶和严格逆对偶理论.By using the nonsmooth （F,α,ρ,d）- convex functions, the duality problem of a class of nonsmooth multiobjective fractional programming is considered, and the appropriate theorems of weak duality, strong duality and strict converse duality are also derived in this paper.

关 键 词：非光滑(F α ρ d)-凸函数 非光滑多目标分式规划 对偶 

分 类 号：O174.13[理学—数学]