| 岳跃利,方进明.诱导I-Fuzzy拓扑空间[J].数学研究及应用,2005,25(4):665~670 |
| 诱导I-Fuzzy拓扑空间 |
| Induced I-Fuzzy Topological Spaces |
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| DOI：10.3770/j.issn:1000-341X.2005.04.017 |
| 中文关键词: Fuzzifying拓扑 I-Fuzzy诱导拓扑空间 I-Puzzy底空间 I-Fuzzy满层空间 光滑良紧 |
| 英文关键词:Puzzifying topology induced I-Fuzzy topological space I-Fuzzy background topological space stratified I-Fuzzy topological space smooth compactness. |
| 基金项目:山东省自然科学基金(Q99A02) |
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| 中文摘要: |
| 本文引入了生成I-Fuzzy拓扑空间的概念,研究了Fuzzifying拓扑空间(X,τ)与其相应的生成I-Fuzzy拓扑空间(IX,ω(τ))的联系;然后介绍了ω,ι算子及它们的运算性质;最后给出并研究了I-Fuzzy诱导空间,I-Fuzzy弱诱导空间,I-Fuzzy满层空间的定义和它们间的联系. |
| 英文摘要: |
| In this paper, we introduce the concept of generated I-fuzzy topological space and study the connection between (X, τ) and its corresponding generated space (IX,ω(τ)). We give the properties of operators ω and ι and introduce the concepts of in |
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