| 约束锥和控制锥扰动多目标规划的稳定性 |
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| 引用本文： | 栗四海,周轩伟,刘鹏. 约束锥和控制锥扰动多目标规划的稳定性[J]. 科学技术与工程, 2009, 9(5) |
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| 作者姓名： | 栗四海 周轩伟 刘鹏 |
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| 作者单位： | 温州大学数学与信息科学学院,温州,325035;温州大学数学与信息科学学院,温州,325035;温州大学数学与信息科学学院,温州,325035 |
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| 摘 要： | 研究了Banach空间中的约束锥和控制锥同时受扰动时,其锥有效点集和锥弱有效点集在半连续意义下的稳定性.在此基础上,得到了约束锥和控制锥扰动多目标规划问题的锥有效解集和锥弱有效解集在半连续意义下的稳定性.
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| 关 键 词： | 半连续性 多目标规划 锥有效点 锥有效解 稳定性 |
Stability of Multiobjective Programming under the Constraint Cone and the Control Cone Perturbations |
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| LI Si-hai,ZHOU Xuan-Wei,LIU Peng. Stability of Multiobjective Programming under the Constraint Cone and the Control Cone Perturbations[J]. Science Technology and Engineering, 2009, 9(5) |
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| Authors: | LI Si-hai ZHOU Xuan-Wei LIU Peng |
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| Affiliation: | School of Mathematics and Information science;Wenzhou University;Wenzhou 325035;P.R.China |
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| Abstract: | The stability in the sense of semicontinuation for the cone efficient points and the cone weakly efficient points of a perturbation set in Banach space with perturbation order are studied. On this basis,the stability for the cone efficient solutions and the cone weakly efficient solutions of multiobjective projiamming problem under two perturbations are obtained in Banach space. |
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| Keywords: | semicontinuity multiobjective programming cone efficient point cone efficient solution stability |
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