| E-凸条件下多目标规划的Mond-Weir型对偶研究 |
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| 引用本文： | 江孝感,黄琦炜. E-凸条件下多目标规划的Mond-Weir型对偶研究[J]. 应用数学学报, 2010, 33(4) |
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| 作者姓名： | 江孝感 黄琦炜 |
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| 作者单位： | 东南大学经济管理学院,南京,210089 |
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| 摘 要： | 本文主要研究E-凸函数的若干性质,引入E-凸多目标规划的定义,建立E-凸多目标规划的Mond-Weir型对偶问题,并在E.凸条件假设下,证明E-凸多目标规划的弱对偶性、直接对偶性及逆对偶性.
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| 关 键 词： | E-凸函数 多目标规划 对偶性 |
The Mond-Weir Duality for Multi-objective Planning under the Conditions of E-convex |
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| JIANG XIAOGAN,HUANG QIWEI. The Mond-Weir Duality for Multi-objective Planning under the Conditions of E-convex[J]. Acta Mathematicae Applicatae Sinica, 2010, 33(4) |
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| Authors: | JIANG XIAOGAN HUANG QIWEI |
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| Affiliation: | JIANG XIAOGAN HUANG QIWEI (School of Economics and Management,Southeast University,Nanjing 210089) |
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| Abstract: | In this paper,we mainly study some properties of the E-convex function,and introduce the notion of E-convex multi-objective planning,and establish the Mond-Weir duality problem of the E-convex multi-objective planning.Then we prove its week duality, direct duality,and converse duality under the assumption of E-convex conditions. |
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| Keywords: | E-convexity functions multi-objective planning duality |
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