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Normal filters in residuated lattices
- Source :
- Le Matematiche, Vol 70, Iss 1, Pp 81-92 (2015)
- Publication Year :
- 2015
- Publisher :
- Università degli Studi di Catania, 2015.
-
Abstract
- Residuated lattices play an important role in the study of fuzzy logic. In the present paper, we introduce the notion of a normal filter in a residuated lattice and give some characterizations of them. We state and prove some theorems and examples which determine the relationship between this notion and the other types of filters of a residuated lattice. Finally we investigate the relation between the set of dense elements and normal filters of a residuated lattice.
Details
- Language :
- English, French, Italian
- ISSN :
- 03733505 and 20375298
- Volume :
- 70
- Issue :
- 1
- Database :
- Directory of Open Access Journals
- Journal :
- Le Matematiche
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.99fbc3947db843edacd123fea6adde3d
- Document Type :
- article