| 多目标最优化问题扰动有效解的强下半连续性 |
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| 引用本文： | 张勇,尹文双.多目标最优化问题扰动有效解的强下半连续性[J].湖北民族学院学报(哲学社会科学版),2009,27(3). |
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| 作者姓名： | 张勇 尹文双 |
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| 作者单位： | 张勇(吉首大学数学与计算机科学学院,湖南吉首,416000);尹文双(湖北民族学院理学院,湖北恩施,445000) |
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| 基金项目： | 国家自然科学基金项目，吉首大学校级科研项目 |
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| 摘 要： | 首先讨论了在序锥扰动意义下雏有效解映射的强下半连续性和雏有效解的强本质点的存在性.然后证明了在定义的距离ρ下有微小扰动后至少存在一个强本质点,也就是说至少存在一个有效点对于锥K扰动来说是稳定的.
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| 关 键 词： | 多目标优化 序锥 扰动 强下半连续性 强本质点 |
Strong Lower Semi-continuity of Perturbations Efficient Solution for Multi-objective Optimization Problem |
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| ZHANG Yong,YIN Wen-shuang.Strong Lower Semi-continuity of Perturbations Efficient Solution for Multi-objective Optimization Problem[J].Journal of Hubei Institute for Nationalities(Natural Sciences),2009,27(3). |
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| Authors: | ZHANG Yong YIN Wen-shuang |
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| Institution: | 1.College of Mathematics & Computer Science;Jishou University;Jishou 416000;China;2.School of Science;Hubei University for Nationalities;Enshi 445000;China |
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| Abstract: | This paper mainlies studies the existence of stronger essential point and lower semi-continuity of cone efficient solution under order cone perturbations,then we prove that there exists at least a strong essential point by small perturbations under the defined distance,that is to say,there is an efficient point that is stable for the cone perturbation. |
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| Keywords: | multi-objective optimization order-cone perturbations stronger lower semi-continuity stronger essence point |
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