Computer Engineering and Applications ›› 2014, Vol. 50 ›› Issue (20): 41-44.
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LIU Chunhui
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Published:
刘春辉
Abstract: The concept of regular filters is introduced in fuzzy implication algebras and their properties are discussed. Some equivalent characterizations of regular filters are obtained. Relations between regular filters and other types filters are investigated deeply, it is proved that a nonempty set is a positive implicative filter if and only if it is both an implicative filter and a regular filter.
Key words: fuzzy logic, Fuzzy implication algebra, MP-filter, regular filter
摘要: 在Fuzzy蕴涵代数中引入正则滤子的概念并讨论其性质。获得了正则滤子的若干等价刻画。深入考察了正则滤子与其他类型的滤子之间的关系,证明了一个非空集合是正关联滤子当且仅当它既是关联滤子又是正则滤子的结论。
关键词: 模糊逻辑, Fuzzy蕴涵代数, MP滤子, 正则滤子
LIU Chunhui. Regular filters in Fuzzy implication algebras[J]. Computer Engineering and Applications, 2014, 50(20): 41-44.
刘春辉. Fuzzy蕴涵代数的正则滤子[J]. 计算机工程与应用, 2014, 50(20): 41-44.
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http://cea.ceaj.org/EN/Y2014/V50/I20/41