| 格值模糊拓扑群的同态 |
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| 引用本文： | 孟晗,张兴芳,王敦强. 格值模糊拓扑群的同态[J]. 聊城大学学报(自然科学版), 2002, 15(2): 1-4 |
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| 作者姓名： | 孟晗 张兴芳 王敦强 |
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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资助课题（Y98A05008） |
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| 摘 要： | 在L-fuzzy拓扑群之间引入了L-fuzzy同志及L-fuzzy开同态等概念,并刻画了它们的基本特征.证明了L-fuzzy同态是“L-好的推广”,揭示了它与分明拓扑群的同态之间的内在联系,研究了它的某些性质.
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| 关 键 词： | L-fuzzy拓扑群 L-fuzzy同态群 L-fuzzy格 L-fuzzy拓扑空间 L-fuzzy开同态 |
| 文章编号： | 1007-8304(2002)02-0001-04 |
| 修稿时间： | 2002-01-23 |
Homomorphisms of Lattice-Valued Fuzzy Topological Groups |
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| MENG Han,ZHANG Xing-fang,WANG Dun-qiang. Homomorphisms of Lattice-Valued Fuzzy Topological Groups[J]. JOURNAL OF LIAOCHENG UNIVERSITY (NATURAL SCIENCE, 2002, 15(2): 1-4 |
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| Authors: | MENG Han ZHANG Xing-fang WANG Dun-qiang |
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| Abstract: | The concepts of L-fuzzy homomorphisms and open homomorphisms for L-Fuzzy topological groups are introduced, and their basic characterizations are given. It is proved that L-Fuzzy homomorphisms is an " L-good extension", and the relation between it and the homomorphism for crisp topological groups is exposed,and their basic properties are dissussed. |
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| Keywords: | L-fuzzy topological groups L-fuzzy homomorphism group fuzzy lattice L-fuzzy topological space |
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