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Filters of ordered semigroups based on the fuzzy points.
- Source :
-
Journal of Intelligent & Fuzzy Systems . 2013, Vol. 24 Issue 3, p619-630. 12p. 1 Chart. - Publication Year :
- 2013
-
Abstract
- In the paper [B. Davvaz and A. Khan, Generalized fuzzy filters in ordered semigroups, IJST (2012) Vol. 36, A1: 77-86], Davvaz and Khan discussed the notion of (∈, ∈ ∨ q)-fuzzy left (right) filters as a generalization of the notion of fuzzy left (right) filters of ordered semigroups. In this article, we try to obtain a more general form than (∈, ∈ ∨ q)-fuzzy left (right) filters in ordered semigroups. The notion of an (∈, ∈ ∨ qk)-fuzzy left (right) filter is introduced, and several properties are investigated. Characterizations of an (∈, ∈ ∨ qk)-fuzzy left (right) filter are established. A condition for an (∈, ∈ ∨ qk)-fuzzy left (right) filter to be a fuzzy left (right) filter is provided. Using implication operators and the notion of implication-based fuzzy left (resp. right) filters, characterizations of a fuzzy left (resp. right) filter and an (∈, ∈ ∨ qk)-fuzzy left (resp. right) filter are considered. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10641246
- Volume :
- 24
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Journal of Intelligent & Fuzzy Systems
- Publication Type :
- Academic Journal
- Accession number :
- 85932508
- Full Text :
- https://doi.org/10.3233/ifs-2012-0581