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一类多目标分式规划的二阶对称对偶问题 被引量：1

Second Order Symmetric Duality for a Class of Multiobjective Fractional Programming
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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.
作者 王荣波 冯强
机构地区 延安大学数学与计算机科学学院
出处 《内蒙古师范大学学报（自然科学汉文版）》 CAS 北大核心 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)
关键词 多目标分式规划 广义二阶C-凸函数 二阶对称对偶 multiobjective fractional programming generalized second order C-convexity second order symmetric duality
分类号 O221.2 [理学—运筹学与控制论]
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二级参考文献18

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同被引文献14

  • 1Kaul R N,Kaur S. Generalizations of convex and related functions[J]. EuropeanJournal of Operations Research,1982, 9: 369-377.
  • 2Antczak T. A new approach to multiobjective programming with a modified objective function[J].Journal of Global Optimization, 2003,27: 485-495.
  • 3Ahmad I. Sufficiency and duality in multiobjective programming with generalized (F,p)-convexity[J].Journal of Math?ematical Analysis and Applications, 2005 (11) : 19-32.
  • 4Antczak T. A modified objective function method for solving nonlinear multiobjective fractional programming problems[J].Journal of Mathematical Analysis and Applications. 2006,322: 971-989.
  • 5Jayswal A, Ahmadb I, Al-Homidanb S. Sufficiency and duality for non smooth multiobjective programming problems involving generalized (F,a ,p,8) -d- V-univex functions[J]. Mathematical and Computer Modelling, 20 11 ,53: 81-90.
  • 6Minch R A. Application of symmetric derivatives in mathematical programming[J]. Mathematical Programming, 1971(1):307-320.
  • 7Zheng XJ , Cheng L. Minimax fractional programming under nonsmooth generalized (F, p, 8) -d -univexity[J].Journal of Mathematical Analysis and Applications, 2007 ,328: 676-689.
  • 8Tong Zv Zheng XJ. Generalized (F,a,p,8)-d-V-univex functions and nonsmooth alternative theorems[J].Journal of Computer Mathematics, 2010,87: 158-172.
  • 9Gulati T R, Agarwal D. Sufficiency and duality in nonsmooth multiobjective optimization involving generalized (F,a,1r,d)-Type I functions[J]. Computers and Mathematics with Applications,2006,52:81-94.
  • 10Liang Z A, Huang H X,Pardalos P M. Optimality conditions and duality for a class of nonlinear fractional programming problems[J].Journal of Optimization Theory and Applications, 2001,110: 611-619.

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内蒙古师范大学学报（自然科学汉文版）
2012年 第4期

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