Fuzzy prime MP filters and fuzzy ultra MP filters in FI-algebras

Computer Engineering and Applications ›› 2014, Vol. 50 ›› Issue (23): 77-81.

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Fuzzy prime MP filters and fuzzy ultra MP filters in FI-algebras

LIU Chunhui

1.Dean’s Office, Chifeng University, Chifeng, Nei Mongol 024001, China
2.College of Mathematics and Statistics, Chifeng University, Chifeng, Nei Mongol 024001, China

Online:2014-12-01 Published:2014-12-12

FI代数的模糊素MP滤子与模糊超MP滤子

刘春辉

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

Abstract

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.

Key words: fuzzy logic, FI-algebra, fuzzy prime MP filter, fuzzy ultra MP filter

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。

关键词: 模糊逻辑, FI代数, 模糊素MP滤子, 模糊超MP滤子

LIU Chunhui. Fuzzy prime MP filters and fuzzy ultra MP filters in FI-algebras[J]. Computer Engineering and Applications, 2014, 50(23): 77-81.

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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Fuzzy prime MP filters and fuzzy ultra MP filters in FI-algebras

FI代数的模糊素MP滤子与模糊超MP滤子

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