| Fuzzy模格的定义及其性质 |
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| 引用本文： | 胡清峰,潘福铮.Fuzzy模格的定义及其性质[J].湖北大学学报(自然科学版),2006,28(2):117-120. |
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| 作者姓名： | 胡清峰 潘福铮 |
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| 作者单位： | 湖北大学数学与计算机科学学院 湖北武汉430062 |
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| 摘 要： | 代数结构的Fuzzy化其基本目的是对Fuzzy集尽可能地利用经典代数的丰富工具处理有关问题;代数结构的Fuzzy化的关键是选择好对Fuzzy代数结构的定义.对Fuzzy格作了重新定义,进而对现有文献中尚未研究的模格的Fuzzy化做了一些有益的探索:给出了Fuzzy点形式的Fuzzy模格的定义,并得到一些基本的与经典代数类似的Fuzzy模格的性质.
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| 关 键 词： | Fuzzy同构 Fuzzy(子)格 Fuzzy模格 |
| 文章编号： | 1000-2375(2006)02-0117-04 |
| 收稿时间： | 03 28 2005 12:00AM |
| 修稿时间： | 2005年3月28日 |
The definitions and properties discussion on Fuzzy modular lattice |
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| HU Qing-feng,PAN Fu-zheng.The definitions and properties discussion on Fuzzy modular lattice[J].Journal of Hubei University(Natural Science Edition),2006,28(2):117-120. |
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| Authors: | HU Qing-feng PAN Fu-zheng |
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| Institution: | School of Mathematics and Computer Science, Hubei University, Wuhan 430062, China |
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| Abstract: | The fundamental purpose of algebraical fuzziness is to apply classic algebra tool to solve the related problems of Fuzzy sets,whose key lies in choosing its definition.In this paper,at first,Fuzzy lattice is re-definited.Furthermore,we discuss its basic characteristic.Finally,in this paper the concept of Fuzzy modular lattice is presented and the characteristics of Fuzzy modular lattice,which are similar to classic algebra,are obtained. |
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| Keywords: | Fuzzy homomorphism Fuzzy lattice Fuzzy modular lattice |
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