一类多目标分式规划的二阶对称对偶问题  

Second Order Symmetric Duality for a Class of Multiobjective Fractional Programming

作　　者：王荣波[1] 冯强[1] 

机构地区：[1]延安大学数学与计算机科学学院,陕西延安716000

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2012年第4期355-359,共5页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10901128);陕西省教育厅科研基金(12JK0867);延安大学科研基金(YD2010-09)

摘　　要：利用凸泛函定义了广义二阶C-凸函数及广义二阶C-拟凸函数,在这些新函数的约束下,针对一类多目标分式规划的二阶对偶问题,给出弱对偶、强对偶和逆对偶问题的相关结论.A class of new generalized second order C-convexity and generalized second order C-quasi convexity are given by using convex functionals,a class of second order symmetric dual multiobjective fractional programs is investigated under this new generalized invexity functions,and relative results about week,strong and converse duality theorems are established.

关 键 词：多目标分式规划 广义二阶C-凸函数 二阶对称对偶 

分 类 号：O221.2[理学—运筹学与控制论]