| 多目标规划αr-有效解和αr-最优解的充要条件与求解方法 |
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| 引用本文： | 顾利勤,黄丽云,钟朝艳,崔萍.多目标规划αr-有效解和αr-最优解的充要条件与求解方法[J].昆明理工大学学报(理工版),2003,28(1):168-172. |
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| 作者姓名： | 顾利勤 黄丽云 钟朝艳 崔萍 |
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| 作者单位： | 曲靖师范学院,数学系,云南,曲靖,655000 |
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| 摘 要： | 对于有限维Euclid空间中的αr－序类，文4]讨论了其若干性质，在此基础上文3]引进了多目标规划αr－有效解和αr－最优解的概念，本文讨论了这些解的一些性质，得到几个充要条件并讨论了求解的方法。
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| 关 键 词： | 多目标规划 充要条件 求解方法 αr－锥 严格αr－锥 αr－有效解 αr－最优解 有限维空间 |
| 文章编号： | 1007-855X(2003)01-0168-05 |
| 修稿时间： | 2002年9月3日 |
Some Necessary and Sufficient Conditions and the Method of Extracting the Solution of the αr-efficient Solution and αr-optimal Solution to Multiobjective Programming Problem |
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| GU Li-qin,HUANG Li-yun,ZHONG Cao-yan,Cui Ping.Some Necessary and Sufficient Conditions and the Method of Extracting the Solution of the αr-efficient Solution and αr-optimal Solution to Multiobjective Programming Problem[J].Journal of Kunming University of Science and Technology(Natural Science Edition),2003,28(1):168-172. |
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| Authors: | GU Li-qin HUANG Li-yun ZHONG Cao-yan Cui Ping |
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| Abstract: | On the class of ar - order in limited - dimensional Euclid spaces, some haracters have been analyzed in paper4]. Furthermore the idea of the ar - efficient solution and ar - optimal solution for multiobjective programming problem are provided in paper3]. In this paper, some characters, and some necessary and sufficient conditions are analyzed and some methods of extracting a solution are listed. |
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| Keywords: | ar - cone strict ar - cone ar - efficient solution ar - optimal solution |
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