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.
出处
《西南大学学报（自然科学版）》
CAS
CSCD
北大核心
2010年第3期10-14,共5页
Journal of Southwest University(Natural Science Edition)
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
generalized invexity
non-smooth function
multi-objective fractional programming
weak duality theorem
strong duality theorem
strict converse duality theorem
