| Fuzzy导集算子与Fuzzy拓扑 |
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| 引用本文： | 袁兰党,杜萍.Fuzzy导集算子与Fuzzy拓扑[J].河北师范大学学报(自然科学版),1998,22(4):445-447. |
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| 作者姓名： | 袁兰党 杜萍 |
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| 作者单位： | 河北师范大学职业技术学院基础部 |
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| 摘 要： | 在Ｉ＾Ｘ上，定义了Ｆｕｚｚｙ半导集算子与Ｆｕｚｚｙ导集算子，讨论了它们与拓扑的关系，借助于文献（３）中提出的强导集概念，得到：若ｄ是Ｘ的Ｆｕｚｚｙ导集算子，则在Ｘ上唯一存在一个Ｆｕｚｚｙ拓扑ｆ，使得（Ｘ，Ｆ）是Ｆｕｚｚｙ准Ｔ０空间，且在（Ｘ，Ｔ）中Ｆｕｚｚｙ集Ａ的强导集恰是Ａ在ｄ下的像ｄ（Ａ）。
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| 关 键 词： | 模糊导集算子 模糊拓扑 模糊半导集算子 |
Fuzzy Derived Set Operator and Fuzzy Topology |
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| Yuan Landang,Du Ping.Fuzzy Derived Set Operator and Fuzzy Topology[J].Journal of Hebei Normal University,1998,22(4):445-447. |
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| Authors: | Yuan Landang Du Ping |
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| Abstract: | First define the notion of the Fuzzy derived set operator in I X,discuss the relations between it and topology.Then get a bejection of the set of all Fuzzy derived set operators to the set of all Fuzzy quasiTo topologies in I X. |
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| Keywords: | Fuzzy derived set operator Fuzzy topology strong derived set |
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