| L-fuzzy闭包系统和L-fuzzy弱邻域算子 |
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| 引用本文： | 王新奇.L-fuzzy闭包系统和L-fuzzy弱邻域算子[J].云南大学学报(自然科学版),2011,0(5):507-510. |
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| 作者姓名： | 王新奇 |
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| 作者单位： | 西安文理学院数学系; |
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| 基金项目： | 教育部科学技术研究重点项目(209152)资助 |
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| 摘 要： | 进一步研究L-fuzzy闭包系统,运用一一对应的思想和范畴论的方法研究了确定L-fuzzy闭包系统的另一种方法.设X是集合,L是Hutton代数,首先介绍了L-fuzzy弱邻域算子和它们的L-fuzzy连续映射,然后设L-FCSS是L-fuzzy闭包系统空间和它们的L-fuzzy连续映射构成的范畴,L-FWNS是L-fuzzy弱邻域算子空间和它们的L-fuzzy连续映射构成的范畴,证明了L-FCSS和L-FWNS是同构的.
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| 关 键 词： | L-fuzzy闭包系统 L-fuzzy弱邻域算子 范畴 |
L-fuzzy closure systems and L-fuzzy weak neighborhood operators |
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| WANG Xin-qi.L-fuzzy closure systems and L-fuzzy weak neighborhood operators[J].Journal of Yunnan University(Natural Sciences),2011,0(5):507-510. |
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| Authors: | WANG Xin-qi |
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| Institution: | WANG Xin-qi(Department of Mathematics,Xi'an University of Arts and Science,Xi'an 710065,China) |
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| Abstract: | To further study L-fuzzy closure system.Another determination of L-fuzzy closure systems are studied with thehelp of idea of one-to-one correspondence and method of category.Let X be a set.L a Hutton algebra,we first introduce definitions of L-fuzzy weak neighborhood operators and their L-fuzzy continuous mappings.Then let L-FCSS be the category L-fuzzy closure system spaces and their L-fuzzy continuous mappings,L-FWNS be the category L-fuzzy weak neighborhood spaces and their continuous mappings,it mainly ... |
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| Keywords: | L-fuzzy closure systems L-fuzzy weak neighborhood operators category |
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