FI代数的模糊素MP滤子与模糊超MP滤子

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。%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 equiva-lent 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.