| 关于诱导的I(L)型Fuzzy拓扑群 |
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| 引用本文： | 严从华. 关于诱导的I(L)型Fuzzy拓扑群[J]. 河北科技大学学报, 1997, 0(3) |
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| 作者姓名： | 严从华 |
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| 作者单位： | 南京动力高等专科学校基础部 |
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| 摘 要： | 利用Ｉ（Ｌ）型诱导空间讨论Ｌ－Ｆｕｚｚｙ拓扑群，得到了如下结论：（１）（ＬＸ，δ）是Ｌ－Ｆｕｚｙ拓扑群当且仅当（Ｉ（Ｌ）Ｘ，ω（δ））是Ｌ－Ｆｕｚｙ拓扑群；（２）诱导的Ｉ（Ｌ）型Ｆｕｚｙ拓扑群保持乘积与商运算。
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| 关 键 词： | I（L）值半连续映射；I（L）型诱导空间；远域基；L－Fuzzy拓扑群 |
On Induced I(L) Fuzzy Topological Groups |
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| Abstract: | By use of the concept of induced I(L) Fuzzy topological spaces to discuss L Fuzzy topological groups,the following results are obtained:(1)(LX,δ) is a L ftg iff [I(L)X,ω(δ)]is a L ftg.(2)the induced L Fuzzy topological groups preserve the product and quotient space. |
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| Keywords: | I(L) valued semicontinuous mapping induced I(L) Fuzzy topologocal space R neighborhood base L Fuzzy topological group |
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