| Benson真有效意义下向量优化的灵敏度分析 |
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| 引用本文： | 盛宝怀,刘三阳.Benson真有效意义下向量优化的灵敏度分析[J].数学研究及应用,2002,22(3):407-412. |
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| 作者姓名： | 盛宝怀 刘三阳 |
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| 作者单位： | 西安电子科技大学数学系,陕西西安,710071 |
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| 基金项目： | Supported by the National Natural Science Foundation of China(69972036) |
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| 摘 要： | 本文用关于集值映射的Contingent切导数定量地讨论了参数映射G（u）在Ben-son真有效意义下的扰动情况.记W（u）=PminG（u）,S],y∧∈W（u∧）,则在某些条件下DW（u∧,y∧）（u）?PminDG（u∧,y∧）（u）],而在另外一些条件下DW（u∧,y∧）（u）?PminDG（u∧,y∧）（u）].
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| 关 键 词： | Benson真有效意义 向量优化 灵敏度分析 |
| 收稿时间： | 1999/5/24 0:00:00 |
Sensitivity Analysis in Vector Optimization under Benson Proper Efficiency |
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| SHENG Bao-huai and LIU San-yang.Sensitivity Analysis in Vector Optimization under Benson Proper Efficiency[J].Journal of Mathematical Research with Applications,2002,22(3):407-412. |
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| Authors: | SHENG Bao-huai and LIU San-yang |
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| Institution: | Dept. of Math.; Xidian University; Xi'an; China;Dept. of Math.; Xidian University; Xi'an; China |
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| Abstract: | The behavior of the perturbation map is analyzed quantitatively by usingthe concept of contingent derivatives for set-valued maps under Benson proper efficiency.Let W(u) = PminG(u),S],y∧∈ W(u∧). It is shown that, under some conditions,DW(u∧, y∧) C P minDG(u∧, y∧), S], and under some other conditions, DW(u∧, y∧) P minDG(u∧, y∧), S]. |
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| Keywords: | sensitivity analysis perturbation maps contingent derivatives Benson proper efficiency |
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