Fuzzy蕴涵代数的区间值fuzzy滤子  

Interval valued fuzzy filters in fuzzy implication algebras

作　　者：秦学成[1] 刘春辉[1] 

机构地区：[1]赤峰学院初等教育学院,内蒙古赤峰024001

出　　处：《计算机工程与应用》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~~

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.

关 键 词：FI代数 区间值fuzzy集 MP滤子 FUZZY滤子 区间值fuzzy滤子 

分 类 号：O141.1[理学—数学] O153.1[理学—基础数学]