| L-fuzzy闭包算子及其等价刻画 |
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| 引用本文： | 修振宇,常志,刘波,张杰.L-fuzzy闭包算子及其等价刻画[J].北方工业大学学报,2009,21(3):41-44. |
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| 作者姓名： | 修振宇 常志 刘波 张杰 |
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| 作者单位： | 北方工业大学理学院,100144,北京;北方工业大学理学院,100144,北京;北方工业大学理学院,100144,北京;北方工业大学理学院,100144,北京 |
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| 基金项目： | 北京市教委科技发展资助项目 |
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| 摘 要： | 借助L-fuzzy映射和L-fuzzy集的像,给出了由L-fuzzy映射诱导的L-fuzzy闭包算子及其等价刻画.当L为有限分配格时,讨论了代数的L-fuzzy闭包算子及其所诱导的闭包系统的等价刻画.
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| 关 键 词： | L-fuzzy映射 L-fuzzy 闭包算子 代数的L-fuzzy闭包算子 |
L-fuzz y Closure Operator and Its Equivalent Characterizations |
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| Xiu Zhenyu,Chang Zhi,Liu bo,Zhang Jie.L-fuzz y Closure Operator and Its Equivalent Characterizations[J].Journal of North China University of Technology,2009,21(3):41-44. |
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| Authors: | Xiu Zhenyu Chang Zhi Liu bo Zhang Jie |
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| Affiliation: | Xiu Zhenyu Chang Zhi Liu bo Zhang Jie (College of Science, North China Univ. of Tech. , 100144, Beijing,China) |
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| Abstract: | In this paper,based on the L-fuzzy mapping and the image of L-fuzzy set,the L-fuzzy closure operator induced by the L-fuzzy mapping is given and its equivalent characterizations are obtained.When L is a finite distributive lattice,the algebraic L-fuzzy closure operator and the equivalent characterizations of L-fuzzy closure system induced by algebraic L-fuzzy closure operator are discussed. |
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| Keywords: | L-fuzzy mapping L-fuzzy closure operator algebraic L-fuzzy closure operator |
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