Fuzzy蕴涵代数的素模糊MP滤子  

Prime fuzzy MP-filters in Fuzzy Implication Algebras

作　　者：刘春辉[1,2] 

机构地区：[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

出　　处：《模糊系统与数学》2014年第6期37-43,共7页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助(10371106;60774073)

摘　　要：本文的目的是对Fuzzy蕴涵代数(简称FI代数)中的模糊MP滤子理论作进踊步深入研究。首先,引入素模糊MP滤子的概念并研究其性质,建立并证明了并半格FI代数的素模糊MP滤子定理;其次,在FI代数的素模糊MP滤子全体之集PFFMP(X)上构造了一个拓扑T,证明了拓扑空间(PFFMP(X),T)是T0空间。The aim of this paper is to deeply study the theory of fuzzy MP-filters in fuzzy implication algebras （FI-algebras, in short）. Firstly, the notion of prime fuzzy MP-filters in Fuzzy implication algebras is introduced and their properties are studied. And the prime MP-filters theorem is established and proved of upper semilattice FI-algebras. Secondly, a topology 3- is constructed on the set of all prime MP-filters PFF MP（X） in an FI-algebra, it is proved that the topology space （PFFMP（X）,J） is T0-space.

关 键 词：模糊逻辑Fuzzy蕴涵代数 素模糊MP滤子 拓扑空间 

分 类 号：O141[理学—数学] O189[理学—基础数学]