| 多目标规划的整体解 |
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| 引用本文： | 李仲飞,汪寿阳. 多目标规划的整体解[J]. 系统科学与数学, 1995, 15(1): 030-032 |
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| 作者姓名： | 李仲飞 汪寿阳 |
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| 作者单位： | 内蒙古大学数学系，中国科学院系统科学研究所 |
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| 摘 要： | 本文在较弱的广义凸性假定下讨论多目标规划的几种整体有效性．给出的定理统一了目前已有的一些关于多目标规划局部解为整体解的充分条件．
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| 关 键 词： | 多目标规划，整体有效解，广义∧－凸性 |
GLOBAL EFFICIENCY IN MULTIOBJECTIVE OPTIMIZATION |
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| LI ZHONG-FEI,WANG SHOU-YANG. GLOBAL EFFICIENCY IN MULTIOBJECTIVE OPTIMIZATION[J]. Journal of Systems Science and Mathematical Sciences, 1995, 15(1): 030-032 |
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| Authors: | LI ZHONG-FEI WANG SHOU-YANG |
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| Affiliation: | (1)Mathematics Department, University of Inner Mongolia, Hohhot 010021;(2)Institute of Systems Science, Academia Sinica, Beijing 100080 |
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| Abstract: | In this short technical note, we present five sufficient conditions to guarantee a local efficient (resp., weakly efficient, properly efficient in the sense of Benson, properly efficient in the sense of Borwein, properly efficient in the sense of Henig and properly efficient in the sense of Hartley) solution of a general multiobjective optimization problem to be a corresponding solution of the problem. These theorems generalize and unify several results existing in the field. |
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| Keywords: | Multiobjective optimization global efficiency generalized Aconvexity. |
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