| 模糊层次拓扑空间理论(Ⅱ) |
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| 引用本文： | 孟广武,孟晗.模糊层次拓扑空间理论(Ⅱ)[J].聊城大学学报(自然科学版),2002,15(4):1-3. |
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| 作者姓名： | 孟广武 孟晗 |
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| 作者单位： | 聊城大学,数学与系统科学系,山东,聊城,252059 |
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| 基金项目： | 山东省自然科学基金(Y2000A05) |
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| 摘 要： | 本文是文献的续篇。对于给定的模糊格L之分子α,在L-fuzzy拓扑空间中,定义了一种称之为GFα-闭包算子的层次闭包算子,引入了一种称之为GFα-闭集的层次闭集。文中研究了GFα-闭包算子和GFα-闭集的基本性质,指出GFα-闭包算子是Rodabaugh提出的α-闭包算子的拓广,给出了L-fuzzy集之闭包的分解定理。
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| 关 键 词： | 模糊拓扑学 GFα-闭包算子 GFα-闭集 模糊格 |
| 文章编号： | 1007-8304(2002)04-0001-03 |
| 修稿时间： | 2002年9月15日 |
The Theory of Fuzzy Stratiform Topological Spaces(Ⅱ) |
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| MENG Guang-wu,MENG Han.The Theory of Fuzzy Stratiform Topological Spaces(Ⅱ)[J].Journal of Liaocheng University:Natural Science Edition,2002,15(4):1-3. |
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| Authors: | MENG Guang-wu MENG Han |
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| Abstract: | The paper is continuation of 1]. For given fuzzy lattice L and its molecular a,in L-fuzzy topological space,it is defined that a stratiform closure operator, so-called GFa-closure operator,it is intorduced that a stratiform closed set,so-called GFa- closed set. The basic properties of GFa- closure operator and GFa- closed sets are discussed. It is point out that GFa- closure operator is a generalization for Rodabaugh's a- closure operator. The decomposition theorem has been presented for the closure of L-fuzzy set. |
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