| Fuzzy蕴涵代数的素MP滤子 |
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| 引用本文： | 刘春辉,徐罗山.Fuzzy蕴涵代数的素MP滤子[J].模糊系统与数学,2011,25(1). |
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| 作者姓名： | 刘春辉 徐罗山 |
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| 作者单位： | 1. 赤峰学院,初等教育学院,内蒙古,赤峰,024001
2. 扬州大学,数学科学学院,江苏,扬州,225002 |
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| 摘 要： | 对Fuzzy蕴涵代数(简称FI代数)的滤子理论作深入研究.首先对由非空集合生成的MP滤子的性质作进一步探讨;然后引入素MP滤子的概念并讨论其基本性质,给出了素MP滤子的若干等价刻画,证明了并半格FI代数的素MP滤子定理;最后利用素MP滤子概念时满足条件(S)的并半格FI代数的MP滤子格((L)MP(X),(∩))中的素元进行刻画.
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| 关 键 词： | 模糊逻辑 Fuzzy蕴涵代数 MP滤子 素MP滤子 素元 |
The Prime MP-filters in Fuzzy Implication Algebras |
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| LIU Chun-hui,XU Luo-shan.The Prime MP-filters in Fuzzy Implication Algebras[J].Fuzzy Systems and Mathematics,2011,25(1). |
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| Authors: | LIU Chun-hui XU Luo-shan |
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| Institution: | LIU Chun-hui1,XU Luo-shan2(1.College of Elementary Education,Chifeng University,Chifeng 024001,China,2.Section of Mathematics Science,Yangzhou University,Yangzhou 225002,China) |
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| Abstract: | The aim of this paper is to deeply study the theory of MP-filters in Fuzzy Implication algebras(FI-algebras,in short).Firstly,the farther properties of MP-filters which are generated by a nonempty subset are discussed.Nextly,the concept of prime MP-filters in FI-algebras is introduced and some properties of them are discussed,some characterizations of prime MP-filters are given,the prime MP-filters theorem of upper semilattice FI-algebras is proved.Finally,the prime elements in MP-filters lattice of upper s... |
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| Keywords: | Fuzzy Logic Fuzzy Implication Algebras MP-filters Prime MP-filters Prime Elements |
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