| 一类多目标分式规划的二阶对称对偶问题 |
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| 引用本文： | 高英,杨新民.一类多目标分式规划的二阶对称对偶问题[J].系统科学与数学,2011,31(4). |
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| 作者姓名： | 高英 杨新民 |
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| 作者单位： | 重庆师范大学数学学院 重庆400047 |
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| 基金项目： | 国家自然科学基金(10831009,10771228); 重庆师范大学博士启动基金(10XLB015); 重庆市教育委员会科学技术研究项目(KJ110624); 重庆市科委重点实验室专项经费资助项目 |
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| 摘 要： | 研究一类多目标分式规划的二阶对称对偶问题.在二阶F-凸性假设下给出了对偶问题的弱对偶、强对偶和逆对偶定理.并在对称和反对称假设下研究了该问题的自身对偶性.
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| 关 键 词： | 多目标分式规划 二阶对称对偶 自身对偶 |
SECOND ORDER SYMMETRIC DUALITY FOR A CLASS OF MULTIOBJECTIVE FRACTIONAL PROGRAMMING |
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| GAO Ying,YANG Xinmin.SECOND ORDER SYMMETRIC DUALITY FOR A CLASS OF MULTIOBJECTIVE FRACTIONAL PROGRAMMING[J].Journal of Systems Science and Mathematical Sciences,2011,31(4). |
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| Authors: | GAO Ying YANG Xinmin |
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| Institution: | GAO Ying YANG Xinmin (Department of Mathematics,Chongqing Normal University,Chongqing,China 400047) |
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| Abstract: | In this paper,a class of second order symmetric dual multiobjective fractional programs is investigated.Weak,strong and converse duality theorems are established under the second order F-convexity assumption.A second self duality theorem is also given by assuming the involved functions to be skew symmetric and symmetric. |
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| Keywords: | Multiobjective fractional programming second order symmetric duality self duality |
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