一类非凸非光滑多目标分式规划问题的对偶  

Duality for a Class of Nonconvex Nonsmooth Multiobjective Fractional Programming Problems

作　　者：姚元金[1] 

机构地区：[1]吉首大学数学与计算机科学学院,湖南吉首416000

出　　处：《西南大学学报（自然科学版）》2010年第3期10-14,共5页Journal of Southwest University(Natural Science Edition)

摘　　要：研究了一类非光滑多目标分式规划问题的对偶问题.首先,借助于Clarke广义梯度,引入了一类广义不变凸函数概念;然后,在此基础上,给出并证明了该对偶问题的弱对偶定理、强对偶定理和严格逆对偶定理.In this paper, the duality for a class of non-smooth multi-objective fractional programming prob lems is studied. Using Clarke generalized gradient, the concept of a class of generalized invexity functions is introduced and, based on this, the weak duality theorem, the strong duality theorem and the strict converse duality theorem for the dual problems are obtained and proved.

关 键 词：广义不变凸 非光滑函数 多目标分式规划 弱对偶定理 强对偶定理 严格逆对偶定理 

分 类 号：O221.6[理学—运筹学与控制论]