计算机工程与应用Issue(11)：62-65,104,5.DOI:10.3778/j.issn.1002-8331.1311-0073
BL-代数的n-重模糊蕴涵滤子
n-fold fuzzy filter on BL -algebra
孟彪龙 1辛小龙 2杨永伟1
作者信息
- 1. 西北大学 数学系，西安 710127
- 2. 西安科技大学 数学系，西安 710054
- 折叠
摘要
Abstract
The notion of n-fold fuzzy implicative filter of a BL-algebra is introduced and some properties of a n-fold fuzzy implicative filter are investigated, several equivalent conditions of a n-fold fuzzy implicative filter are also given. At the same time, a simple condition to verify whether or not a fuzzy filter is a n-fold fuzzy implicative filter is also given. Furthermore, it is proved that n-fold implicative BL-algebra is characterized by a n-fold fuzzy implicative filter and a fuzzy filter is a n-fold fuzzy implicative filter if and only if the corresponding quotient is a n-fold implicative BL-algebra.关键词
BL-代数/模糊滤子/n-重模糊蕴涵滤子/n-重蕴涵BL-代数Key words
BL-algebra/fuzzy filter/n-fold fuzzy implicative filter/n-fold implicative BL-algebra分类
数理科学引用本文复制引用
孟彪龙,辛小龙,杨永伟..BL-代数的n-重模糊蕴涵滤子[J].计算机工程与应用,2014,(11):62-65,104,5.
