| FI代数的模糊素MP滤子与模糊超MP滤子 |
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| 引用本文： | 刘春辉. FI代数的模糊素MP滤子与模糊超MP滤子[J]. 计算机工程与应用, 2014, 50(23): 77-81 |
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| 作者姓名： | 刘春辉 |
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| 作者单位： | 1.赤峰学院 教务处，内蒙古 赤峰 024001 2.赤峰学院 数学与统计学院，内蒙古 赤峰 024001 |
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| 基金项目： | 国家自然科学基金(No.10371106，No.60774073)。 |
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| 摘 要： | 将Zadeh提出的模糊集概念应用于FI代数，提出了FI代数的模糊素MP滤子和模糊超MP滤子的概念并研究其性质及相互关系。给出了满足一定条件的并半格FI代数的模糊素MP滤子的若干等价刻画并建立了模糊素MP滤子定理。获得了一个模糊集成为超模糊MP滤子的充要条件。
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| 关 键 词： | 模糊逻辑 FI代数 模糊素MP滤子 模糊超MP滤子 |
Fuzzy prime MP filters and fuzzy ultra MP filters in FI-algebras |
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| LIU Chunhui. Fuzzy prime MP filters and fuzzy ultra MP filters in FI-algebras[J]. Computer Engineering and Applications, 2014, 50(23): 77-81 |
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| Authors: | LIU Chunhui |
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| Affiliation: | 1.Dean’s Office, Chifeng University, Chifeng, Nei Mongol 024001, China2.College of Mathematics and Statistics, Chifeng University, Chifeng, Nei Mongol 024001, China |
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| Abstract: | It applies the concept of fuzzy sets which introduced by Zadeh to FI-algebras, the notions of fuzzy prime MP filters and fuzzy ultra MP filters of FI-algebras are introduced, their properties and relations are discussed. Some equivalent characterizations of fuzzy prime MP filters in join semi-lattice FI-algebras with certain conditions are given. The fuzzy prime MP filters theorem of join semi-lattice FI-algebras is established. And the sufficient and necessary condition for an fuzzy set to be fuzzy ultra MP filters is obtained. |
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| Keywords: | fuzzy logic FI-algebra fuzzy prime MP filter fuzzy ultra MP filter |
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