| Banach空间中多目标最优化问题的标量化条件 |
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| 引用本文： | 曾祥金.Banach空间中多目标最优化问题的标量化条件[J].汕头大学学报(自然科学版),1993,8(2):7-13. |
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| 作者姓名： | 曾祥金 |
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| 作者单位： | 汕头大学数学系 汕头 |
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| 摘 要： | 本文在实自反Banach空间上,讨论广义多目标最优化问题的各类有效点的概念和性质,论证了多目标最优化问题标量化求有效解的充分必要性条件,从而可把多目标问题转化成单目标问题处理。
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| 关 键 词： | 多目标最优化 凸集合 |
Scalar Conditions for Multi-Objective Optimization in Banach Space |
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| Zeng Xiangjin.Scalar Conditions for Multi-Objective Optimization in Banach Space[J].Journal of Shantou University(Natural Science Edition),1993,8(2):7-13. |
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| Authors: | Zeng Xiangjin |
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| Abstract: | In this paper is discussed the concept and properties of all kinds of efficient solutions to multi—objective optimization in its broad sense in the real reverse Banach space, and established the necessary and sufficient conditions of the efficient solutions to the scaling of multi-objective optimization, thereby simplifying the solution of multi-objective problems by transforming them into single objective ones. |
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| Keywords: | multi-objective optimization convex set |
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