Fuzzy蕴涵代数的模糊正则滤子  

Fuzzy Regular Filters in fuzzy Implication Algebras

作　　者：刘春辉[1] 

机构地区：[1]赤峰学院数学与统计学院,内蒙古赤峰024001

出　　处：《数学的实践与认识》2015年第21期245-251,共7页Mathematics in Practice and Theory

摘　　要：在Fuzzy蕴涵代数中引入模糊正则滤子的概念并讨论其性质.获得了模糊正则滤子的若干等价刻画.深入考察了模糊正则滤子与其它类型的模糊滤子之间的关系,证明了一个模糊集是模糊Q-滤子当且仅当它既是模糊P-滤子又是模糊正则滤子的结论.The concept of fuzzy regular filters is introduced in fuzzy implication algebras and their properties are discussed. Some equivalent characterizations of fuzzy regular filters are obtained. Relations between fuzzy regular filters and other types fuzzy filters are investigated deeply, it is proved that a fuzzy set is a fuzzy Q-filter if and only if it is both a fuzzy P-filter and a fuzzy regular filter.

关 键 词：模糊逻辑 FUZZY蕴涵代数 模糊滤子 模糊正则滤子 

分 类 号：O159[理学—数学]