| 集值向量优化问题ε-弱有效集的拓扑性质 |
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| 引用本文： | 任凤英,戎卫东.集值向量优化问题ε-弱有效集的拓扑性质[J].运筹学学报,2002,6(2):36-42. |
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| 作者姓名： | 任凤英 戎卫东 |
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| 作者单位： | 1. 内蒙古财经学院数学教研室,呼和浩特,010051
2. 内蒙古大学数学系,呼和浩特,010021 |
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| 基金项目： | This research was supported by the Natural Science Foundation of Inner Mongolia, China, Project 20001301，Important Laboratory of Chongqing for Operational Research and Control Theory, China. |
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| 摘 要： | 本文研究集值向量优化问题ε-弱有效集的拓扑性质，证明了ε-弱有效解集的存在性、闭性、紧性和连通性。
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| 关 键 词： | 拓扑性质 ε－弱有效集 向量优化 集值映射 |
Topological Properties of ε-Weak Efficient Sets in Vector Optimization with Set-Valued Maps |
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| Abstract.Topological Properties of ε-Weak Efficient Sets in Vector Optimization with Set-Valued Maps[J].OR Transactions,2002,6(2):36-42. |
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| Authors: | Abstract |
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| Abstract: | In this paper, we study the topological properties of e-weak efficient set in vector optimization of set-valued maps. The existence and topological properties of e-weak efficient set, as closeness, compactness and connectedness, etc., have been obtained. |
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| Keywords: | Vector optimization set-valued maps e-weak efficient set |
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