| 广义凸多目标规划的Mond─Weir型对偶性 |
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| 引用本文： | 胡毓达,孙尔江. 广义凸多目标规划的Mond─Weir型对偶性[J]. 高校应用数学学报(A辑), 1995, 0(4) |
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| 作者姓名： | 胡毓达 孙尔江 |
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| 作者单位： | 上海交通大学 |
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| 摘 要： | 本文研究带不等式和等式约束的多目标规划的Ｍｏｎｄ－Ｗｅｉｒ型对偶性理论。在目标和约束是广义凸的假设下，证明了弱对偶定理、直接对偶定理以及逆对偶定理
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| 关 键 词： | 多目标规划，对偶性，广义凸性 |
THE MOND-WEIR TYPE DUALITY OF MULTIOBJECTIVE PROGRAMMING WITH GENERALIZED CONVEXITY |
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| Hu Yuda, Sun Erjiang. THE MOND-WEIR TYPE DUALITY OF MULTIOBJECTIVE PROGRAMMING WITH GENERALIZED CONVEXITY[J]. Applied Mathematics A Journal of Chinese Universities, 1995, 0(4) |
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| Authors: | Hu Yuda Sun Erjiang |
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| Abstract: | This paper studies Mond-Weir type duality of multiobjective programming with inequality and equality constraints. The weak duality theorem, direct duality theorem and converse duality theorem are proved under the assumptions that the objective functions and constraint functions are of generalized convexity. |
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| Keywords: | Multiobjective Programming Duality Generalized Convexity. |
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