On (\(\in,\in \vee q\))-fuzzy filters of BL-algebras (Q1031974)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On (\(\in,\in \vee q\))-fuzzy filters of BL-algebras |
scientific article; zbMATH DE number 5620234
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On (\(\in,\in \vee q\))-fuzzy filters of BL-algebras |
scientific article; zbMATH DE number 5620234 |
Statements
On (\(\in,\in \vee q\))-fuzzy filters of BL-algebras (English)
0 references
23 October 2009
0 references
In this paper, the authors give the notions of \((\in ,\in \vee q)\)-fuzzy Boolean (implicative; positive implicative and fantastic) filters in BL-algebras and investigate some related properties. Some characterizations of these generalized fuzzy filters are derived. Finally, they discuss the relations among these generalized fuzzy filters and prove that an interval-valued \((\in ,\in \vee q)\)-fuzzy filter of a BL-algebra is Boolean (implicative) if and only if it is both positive implicative and fantastic.
0 references
BL-algebra
0 references
fuzzy filter
0 references
implicative filter
0 references
fantastic filter
0 references
