摘要
在R0代数中引入了正蕴涵滤子、奇异滤子、MV滤子的概念,讨论了这些滤子的性质及关系。得到了:在R0代数上,蕴涵滤子、正蕴涵滤子、布尔滤子是等价的;奇异滤子与MV滤子是等价的;正蕴涵滤子是奇异滤子,但反之不真。
The notions of positive implicative filters, fantastic filters and MV filters in R0 algebras are introduced; the properties and relations of these filters are studied. The main results are as follow： in R0 algebras, positive implicative filters, implicative filters, Boolean filters are equivalent; fantastic filters are equivalent to MV filters; any positive implicative filter is a fantastic filter, but the converse is not true.
出处
《模糊系统与数学》
CSCD
北大核心
2009年第3期17-21,共5页
Fuzzy Systems and Mathematics
关键词
R0代数
滤子
蕴涵滤子
正蕴涵滤子
布尔滤子
奇异滤子
MV滤子
R0 Algebra
Positive Implicative Filter
Implicative Filter
Boolean Filter
Fantastic Filter
MV Filter
