非光滑半无限多目标分式规划的对偶条件  

Duality Conditoins of Nonsmooth Semi-infinite Multi-objective Fractional Programming

作　　者：叶佩晨 李丽[1] 姜囡 YE Pei-chen;LI LI;JIANG NAN(School of Mathematics and Computer Science,Yan′an University,Yan′an 716000,China;Zhengzhuang Central Primary School,Yan′an 717100,China)

机构地区：[1]延安大学数学与计算机科学学院,陕西延安716000 [2]延长县郑庄中心小学,陕西延长717100

出　　处：《延安大学学报（自然科学版）》2019年第3期11-14,17,共5页Journal of Yan'an University：Natural Science Edition

基　　金：延安大学2018年国家级大学生创新创业训练项目(201813044);陕西省自然科学基础研究项目(2018JM1042)

摘　　要：利用非光滑分析,定义了一类新的凸函数,研究了涉及此类函数的半无限多目标分式规划问题,得到了对偶问题的弱对偶和严格逆对偶条件,在新的凸性下得到一些重要结论。By the nonsmooth analysis,a class of new convex functions were defined,semi-infinite multi-objective fractional programming problems involving the new defined functions were researched,weak dual conditions and strictly converse dual conditions were obtained,many important conclusions were obtained under the new convexity.

关 键 词：(F α ρ d)函数 多目标 半无限 对偶 分式规划 

分 类 号：O221.6[理学—运筹学与控制论]