| 强预不变凸多目标规划的Lagrange型对偶 |
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| 引用本文： | 蒋妍,张淑玲.强预不变凸多目标规划的Lagrange型对偶[J].宁夏大学学报(自然科学版),2013(3):210-212,220. |
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| 作者姓名： | 蒋妍 张淑玲 |
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| 作者单位： | 郑州旅游职业学院理科基础部,河南郑州450009 |
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| 基金项目： | 河南省基础与前沿技术研究计划资助项目（102300410264） |
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| 摘 要： | 利用强预不变凸函数的的性质,提出了多目标规划问题的Lagrage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 |
Lagrange Duality for Multiobjective Programming with Strongly Preinvex Functions |
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| J iang Yan,Zhang Shuling.Lagrange Duality for Multiobjective Programming with Strongly Preinvex Functions[J].Journal of Ningxia University(Natural Science Edition),2013(3):210-212,220. |
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| Authors: | J iang Yan Zhang Shuling |
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| Institution: | (Department of Basic Science, Zhengzhou Tourism College, Zhengzhou 450009, China) |
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| Abstract: | Based duality theorem on the properties of strongly preinvex function, the weak duality theorem, the strong and inverse duality theorem of multiobjective programming for strongly preinvex function with Lagrange Duality are derived. |
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| Keywords: | strongly preinvex function multiobjective programming efficient solutions duality |
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