浙江大学学报(理学版)2016,Vol.43Issue(6):682-684,715,4.DOI:10.3785/j.issn.1008-9497.2016.06.011
非光滑多目标分式规划的对偶条件
Duality conditions of nonsmooth multi-objective fractional programmin
摘要
Abstract
Optimization plays an important role in game theory ,goal programming ,minimum risk problems ,etc .By nonsmooth analysis , a new class of invex functions are defined , and multi-objective semi-infinite fractional programming problems involving the new defined invex functions are investigated .Then ,weak dual conditions and strictly converse dual conditions of parameter dual problems are obtained ,and some important conclusions are also drawn under the new convexity .关键词
广义不变凸函数/多目标/对偶/分式规划Key words
generalized invex functions/multiobjective/duality/fractional programming分类
数理科学引用本文复制引用
李向有..非光滑多目标分式规划的对偶条件[J].浙江大学学报(理学版),2016,43(6):682-684,715,4.基金项目
国家自然科学基金资助项目(11471007) (11471007)
陕西省教育厅科研项目资助课题( 14JK1840) . ( 14JK1840)