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An investigation on the $n$-fold IVRL-filters in triangle algebras
- Source :
- Mathematica Bohemica, Vol 145, Iss 1, Pp 75-91 (2020)
- Publication Year :
- 2020
- Publisher :
- Institute of Mathematics of the Czech Academy of Science, 2020.
-
Abstract
- The present study aimed to introduce $n$-fold interval valued residuated lattice (IVRL for short) filters in triangle algebras. Initially, the notions of $n$-fold (positive) implicative IVRL-extended filters and $n$-fold (positive) implicative triangle algebras were defined. Afterwards, several characterizations of the algebras were presented, and the correlations between the $n$-fold IVRL-extended filters, $n$-fold (positive) implicative algebras, and the Gödel triangle algebra were discussed.
Details
- Language :
- English
- ISSN :
- 08627959 and 24647136
- Volume :
- 145
- Issue :
- 1
- Database :
- Directory of Open Access Journals
- Journal :
- Mathematica Bohemica
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.f2c05057efc64eef90b27b261a087dfd
- Document Type :
- article
- Full Text :
- https://doi.org/10.21136/MB.2019.0104-17