| 一种产生Fuzzy拓扑和Smooth拓扑的方法及其应用 |
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| 引用本文： | 岳跃利,方进明.一种产生Fuzzy拓扑和Smooth拓扑的方法及其应用[J].中国海洋大学学报(自然科学版),2004,34(2):337-340. |
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| 作者姓名： | 岳跃利 方进明 |
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| 作者单位： | 中国海洋大学数学系,山东,青岛,266071 |
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| 摘 要： | 利用邻域度给出了1种由fuzzy拓扑产生smooth拓扑的方法;利用smooth拓扑的自身结构给出了smooth拓扑产生fuzzy拓扑的方法,讨论了它们在映射间的联系并引入了强smooth拓扑并获得了一些重要结果.
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| 关 键 词： | fuzzy 拓扑 smooth 拓扑 强smooth 拓扑 |
| 文章编号： | 1672-1574(2004)02-337-04 |
| 修稿时间： | 2003年3月7日 |
A Method to Generate Fuzzy Topology and Smooth Topology and Its Applications |
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| YUE Yue-li,FANG Jin-ming.A Method to Generate Fuzzy Topology and Smooth Topology and Its Applications[J].Periodical of Ocean University of China,2004,34(2):337-340. |
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| Authors: | YUE Yue-li FANG Jin-ming |
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| Abstract: | In this paper,a method is presented to generate smooth topology from fuzzy topology by neighborhood degree and a method to generate fuzzy topology from smooth topology by the structure of smooth topology, then the mapping between them is discussed. Finally the concept of strongly smooth topology is introduced and some important results are obtained. |
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| Keywords: | fuzzy topology smooth topology strongly smooth topology |
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