| 锥有效拟凹集的有效点集的连通性 |
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| 引用本文： | 施斗山,王引观,柴惠文. 锥有效拟凹集的有效点集的连通性[J]. 运筹学学报, 2002, 6(2): 61-68 |
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| 作者姓名： | 施斗山 王引观 柴惠文 |
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| 作者单位： | 1. 浙江财经学院信息学院,杭州,310012
2. 嘉兴学院,浙江嘉兴,314001 |
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| 摘 要： | 本文引进了锥有效拟凹集的概念，讨论了R ^m-严格拟凹与R ^m－有效拟凹的关系，证明了一个紧集为锥有效拟凹且其有效点集为闭集时，这个有效点集是连通的。
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| 关 键 词： | 锥有效拟凹集 最大锥下界 锥有效点集 连通性 向量优化问题 |
Connectedness of the Efficient Point Set for the Cone Efficient Quasiconcave Set |
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| DOUSHAN SHI. Connectedness of the Efficient Point Set for the Cone Efficient Quasiconcave Set[J]. OR Transactions, 2002, 6(2): 61-68 |
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| Authors: | DOUSHAN SHI |
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| Abstract: | In this paper, the concept of the cone efficient quasiconcave set is introduced and a relationship between the R+m-strictly quasiconcave set and the R+m-efficient quasiconcave set is discussed. Under conditions that a compact set is cone efficient quasiconcave and its efficient point set is closed, we prove that the efficient point set is connected. |
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| Keywords: | cone efficient quasiconcave set greatest cone lower bound cone efficient point set connectedness. |
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