摘要
将Zadeh提出的区间值fuzzy集的概念应用于Fuzzy蕴涵代数(简称FI代数),提出了FI代数的区间值fuzzy滤子概念并研究其性质。给出了区间值fuzzy集成为区间值fuzzy滤子的两个充要条件;讨论了区间值fuzzy滤子与MP滤子以及fuzzy滤子间的关系;定义了区间值fuzzy滤子的象与原象,获得了它们成为区间值fuzzy滤子的条件。
Apply the concept of interval valued fuzzy set which is introduced by Zadeh to fuzzy implication algebras（in short,FI-algebras） ,introduce the notion of interval valued fuzzy filters in FI-algebras and discuss their properties.Two sufficient and necessary conditions for interval valued fuzzy set to an interval valued fuzzy filter are given; The relations between interval valued fuzzy filters and MP filters,fuzzy filters of FI-algebras are discussed;The images and inverse images of interval valued fuzzy filters are defined, and the conditions for them to interval valued fuzzy filters are obtained.
出处
《计算机工程与应用》
CSCD
北大核心
2010年第31期39-42,共4页
Computer Engineering and Applications
基金
国家自然科学基金No.10371106~~
