Fuzzy蕴涵代数的犹豫模糊正则滤子

Hesitant Fuzzy Regular Filters in Fuzzy Implication Algebras

对Fuzzy蕴涵代数的犹豫模糊滤子问题作进一步研究。首先,在Fuzzy蕴涵代数中引入犹豫模糊正则滤子的概念并讨论其性质特征,获得了犹豫模糊正则滤子的若干等价刻画,给出了正则Fuzzy蕴涵代数的特征定理。其次,系统考察了犹豫模糊正则滤子与其它类型的犹豫模糊滤子之间的关系,证明了一个犹豫模糊集是犹豫模糊Q-滤子当且仅当它既是犹豫模糊P-滤子又是犹豫模糊正则滤子的结论。

In this paper,the problem of hesitant fuzzy filters in fuzzy implication algebras is further studied.Firstly,the concept of hesitant fuzzy regular filters is introduced in fuzzy implication algebras and their properties are discussed.Some equivalent characterizations of hesitant fuzzy regular filters are obtained and the characteristic theorem of regular fuzzy implication is given.Secondly,relations between hesitant fuzzy regular filters and some other types hesitant fuzzy filters are investigated deeply,it is proved that a hesitant fuzzy set is a hesitant fuzzy Q-filter if and only if it is both a hesitant fuzzy P-filter and a hesitant fuzzy regular filter.