四川大学学报(自然科学版)
四川大學學報(自然科學版)
사천대학학보(자연과학판)
JOURNAL OF SICHUAN UNIVERSITY
2009年
6期
1623-1627
,共5页
(F%α%ρ%d)-凸%多目标分式规划问题%最优性条件%对偶
(F%α%ρ%d)-凸%多目標分式規劃問題%最優性條件%對偶
(F%α%ρ%d)-철%다목표분식규화문제%최우성조건%대우
(F%α%ρ%d)-convexity%multi-objective fractional programming%optimality condition%duality
作者在(F,α,ρ,d)-凸性条件下讨论了一类多目标分式规划问题的最优性条件和对偶.通过将多目标分式规划问题转化为多目标规划问题,作者建立了原问题的最优性充分条件并获得了弱对偶和强对偶结果.
作者在(F,α,ρ,d)-凸性條件下討論瞭一類多目標分式規劃問題的最優性條件和對偶.通過將多目標分式規劃問題轉化為多目標規劃問題,作者建立瞭原問題的最優性充分條件併穫得瞭弱對偶和彊對偶結果.
작자재(F,α,ρ,d)-철성조건하토론료일류다목표분식규화문제적최우성조건화대우.통과장다목표분식규화문제전화위다목표규화문제,작자건립료원문제적최우성충분조건병획득료약대우화강대우결과.
Optimality condition and duality of the multi-objective fractional programming under the (F,α,ρ,d)-convexity is discussed. By transforming the multi-objective fractional programming into multi-objective programming, sufficient optimality condition is established;weak duality and strong duality theorem are obtained.