| 强预不变凸多目标规划的Mond-Weir型对偶 |
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| 引用本文： | 汪春峰,蒋妍.强预不变凸多目标规划的Mond-Weir型对偶[J].河南科学,2009,27(1). |
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| 作者姓名： | 汪春峰 蒋妍 |
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| 作者单位： | 1. 河南师范大学数学与信息科学学院,河南,新乡,453007
2. 郑州旅游职业学院理科基础部,郑州,450009 |
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| 摘 要： | 利用强预不变凸函数的性质,提出了多目标规划问题的Mond-Weir型对偶理论中的弱对偶定理、强对偶定理以及逆对偶定理.
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| 关 键 词： | 强预不变凸函数 多目标规划 有效解 对偶性 |
Mond-Weir Duality for Multiobjective Programming with Strongly Preinvex Functions |
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| Wang Chunfeng,Jiang Yan.Mond-Weir Duality for Multiobjective Programming with Strongly Preinvex Functions[J].Henan Science,2009,27(1). |
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| Authors: | Wang Chunfeng Jiang Yan |
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| Institution: | 1. College of Mathematics and Information Science;Henan Normal University;Xinxiang 453007;Henan China;2. Department of Basic Science;Zhengzhou Tourism College;Zhengzhou 450009;China |
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| Abstract: | Based on the properties of strongly preinvex function,the weak duality theorem,the strong duality theorem and inverse duality theorem of multiobjective programming for strongly preinvex function with Mond-Weir Duality. |
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| Keywords: | strongly preinvex function multiobjective programming efficient solutions duality |
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