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.
出处
《模糊系统与数学》
CSCD
北大核心
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)
