| L—Fuzzy集分解定理 |
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| 引用本文： | 马学文,罗从文.L—Fuzzy集分解定理[J].模糊系统与数学,2001,15(1):17-20. |
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| 作者姓名： | 马学文 罗从文 |
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| 作者单位： | 1. 信阳师范学院计算中心,
2. 三峡大学数学系, |
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| 基金项目： | 河南省自然科学基金资助项目 |
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| 摘 要： | 随着隶属函数真值域的拓广，原来关于Zadch-Fuzzy集的分解定理II和III对于L－Fuzzy集不再成立，尽管已有一些它们的关于L＿Fuzzy集的改进形式，但因条件较强，失去了原来的许多优越性，本文从格论入手，首先引入格中元素的强上集和L－Fuzzy集准截集的两个新概念，并讨论了它们的部分性质，进而借助它们给出了L－Fuzzy集分解定理的两个新形式。
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| 关 键 词： | 分配格 极小簇 L－ Fuzzy集 Fuzzy分解 理想 L－Fuzzy准截集 |
| 文章编号： | 1001-7402(2001)01-0017-04 |
| 修稿时间： | 1998年10月11 |
Resolution Theorem of L-Fuzzy Sets |
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| MA Xue-wen,LUO Cong-wen.Resolution Theorem of L-Fuzzy Sets[J].Fuzzy Systems and Mathematics,2001,15(1):17-20. |
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| Authors: | MA Xue-wen LUO Cong-wen |
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| Institution: | MA Xue wen 1,LUO Cong wen 2 |
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| Abstract: | With the extension of codomain of membership function,original resolution theorems about Zadch fuzzy sets have no effect on L fuzzy sets.Although there are many improved forms for L fuzzy sets 7] ,they are not so convenient in use as old ones because of their strong conditions.In this paper,strong upper sets in a lattice and quasi cut sets of L fuzzy sets are introduced and some properties of them are discussed.Then two new forms of resolution theorems of L fuzzy sets are established. |
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| Keywords: | Distributive Lattices Minimal Families L Fuzzy Sets Resolution of Fuzzy Sets |
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