| Fuzzy蕴涵代数上的一致结构及诱导拓扑 |
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| 引用本文： | 刘春辉,朱芳芳. Fuzzy蕴涵代数上的一致结构及诱导拓扑[J]. 山东理工大学学报：自然科学版, 2008, 22(5): 56-60 |
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| 作者姓名： | 刘春辉 朱芳芳 |
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| 作者单位： | 赤峰学院初等教育学院,内蒙古 赤峰,024001;扬州大学数学科学学院,江苏 扬州,225002 |
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| 摘 要： | 为了探寻Fuzzy蕴涵代数的拓扑特征和揭示逻辑代数与拓扑学之间的内在联系，利用Fuzzy蕴涵代数上的同余关系概念和对有限交关闭的MP滤子族构造了一个一致结构，从而诱导出一个拓扑。讨论了该一致结构和相应诱导拓扑的性质。
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| 关 键 词： | Fuzzy蕴涵代数 一致结构 拓扑 MP滤子 连通性 紧致性 |
Uniformity and induced topology on fuzzy implicative algebras |
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| LIU Chun-hui,ZHU Fang-fang. Uniformity and induced topology on fuzzy implicative algebras[J]. Journal of Shandong University of Technology:Science and Technology, 2008, 22(5): 56-60 |
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| Authors: | LIU Chun-hui ZHU Fang-fang |
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| Affiliation: | LIU Chun-hui1,ZHU Fang-fang2(1.College of Elementary Education,Chifeng University,Chifeng 024001,China,2.College of Mathematics Science,Yangzhou University,Yangzhou 225002,China) |
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| Abstract: | In order to seek the topological characteristics of fuzzy implicative algebras and reveal the interior relation between logical algebras and topology,we construct a uniformity used the concept of congruence relation and collection of MP-filters which closed for finite intersection on fuzzy implicative algebras,and then induces a topology.Some properties of the uniformity and corresponding inducement topology are discussed. |
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| Keywords: | fuzzy implicative algebras uniformity topology MP-filters connectedness compactness |
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