| 多目标最优化问题相依导数的灵敏性与稳定性(英) |
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| 引用本文： | 李声杰.多目标最优化问题相依导数的灵敏性与稳定性(英)[J].应用数学,1998(2). |
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| 作者姓名： | 李声杰 |
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| 作者单位： | 重庆建筑大学基础科学系!重庆，630000 |
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| 摘 要： | 设Y（u）是可行域在目标空间的像，W（u）＝minpY（u）是有效集和N（u）＝W－minDDY是弱有效集．在适当条件下，本文证明了DNW－minpY和W－minDDY＝DW＝DN．本文也讨论了边缘映射导数的连续性．
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| 关 键 词： | 灵敏性 稳定性 相依导数 边缘映射 |
Sensitivity and Stability for Contingent Derivative in Multiobjective Optimization |
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| Li Shengjie.Sensitivity and Stability for Contingent Derivative in Multiobjective Optimization[J].Mathematica Applicata,1998(2). |
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| Authors: | Li Shengjie |
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| Abstract: | Let Y(u) be the objective space image of the feasible region. Let W(u) = minpY(u) be the efficient set and N(u)=W-minpY(u) be the weak efficient set. We prove that DNW-minpDY and W-minpDY=DW=DN under certain conditions. Also this paper studies the continuity properties of derivatives of the marginal map. |
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| Keywords: | Sensitivity Stability Contingent derivative Marginal map |
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