湖北民族学院学报(自然科学版)
湖北民族學院學報(自然科學版)
호북민족학원학보(자연과학판)
JOURNAL OF HUBEI INSTITUTE FOR NATIONALITIES(NATURAL SCIENCE EDITION)
2014年
2期
124-127
,共4页
(F,α,ρ,d)-凸%非光滑多目标分式规划%弱对偶定理%强对偶定理%严格逆对偶定理
(F,α,ρ,d)-凸%非光滑多目標分式規劃%弱對偶定理%彊對偶定理%嚴格逆對偶定理
(F,α,ρ,d)-철%비광활다목표분식규화%약대우정리%강대우정리%엄격역대우정리
(F,α,ρ,d)-convex%nonsmooth multiobjective fractional programming%weak duality theo-rems%strong duality theorems%strict converse duality theorems
在( F,α,ρ,d)-凸性条件下,研究了一类非光滑多目标分式规划问题的对偶问题,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。所得结论改进和推广了相关的结果。
在( F,α,ρ,d)-凸性條件下,研究瞭一類非光滑多目標分式規劃問題的對偶問題,給齣併證明瞭該對偶問題的弱對偶定理,彊對偶定理和嚴格逆對偶定理。所得結論改進和推廣瞭相關的結果。
재( F,α,ρ,d)-철성조건하,연구료일류비광활다목표분식규화문제적대우문제,급출병증명료해대우문제적약대우정리,강대우정리화엄격역대우정리。소득결론개진화추엄료상관적결과。
In this paper , a dual problem for a class of nonsmooth multiobjective fractional programming problem with ( F,α,ρ,d)-convexity is studied ,and weak duality theorems, strong duality theorems and strict converse duality theorems for the class of dual problem are obtained and proved .The related results of [6] are generalized and improved .