Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
473340 | Computers & Mathematics with Applications | 2008 | 13 Pages |
Abstract
The aim of this paper is to introduce the notions of interval valued (∈,∈∨q)(∈,∈∨q)-fuzzy Boolean (implicative, positive implicative and fantastic) filters in BLBL-algebras and to investigate some related properties. Some characterizations of these generalized fuzzy filters are derived. Finally, the relations among these generalized fuzzy filters are discussed. It is proved that an interval valued (∈,∈∨q)(∈,∈∨q)-fuzzy filter in BLBL-algebras is an interval valued (∈,∈∨q)(∈,∈∨q)-fuzzy Boolean (implicative) filter if and only if it is both an interval valued (∈,∈∨q)(∈,∈∨q)-fuzzy positive implicative filter and an interval valued (∈,∈∨q)(∈,∈∨q)-fuzzy fantastic filter.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Jianming Zhan, Yang Xu,