Mathematica Bohemica, Vol. 145, No. 1, pp. 75-91, 2020
An investigation on the $n$-fold IVRL-filters in triangle algebras
Saeide Zahiri, Arsham Borumand Saeid
Received September 13, 2017. Published online March 25, 2019.
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.
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Affiliations: Saeide Zahiri, Department of Mathematics, Faculty of Science, Higher Education Center of Eghlid, Mostafa Khomeini St., Eghlid, Iran, e-mail: saeede.zahiri@yahoo.com, s.zahiri@eghlid.ac.ir; Arsham Borumand Saeid, Department of Pure Mathematics, Faculty of Mathematics and Computer, Bahman Blvd. 22, Shahid Bahonar University of Kerman, 76169-14111, Kerman, Iran, e-mail: arsham@uk.ac.ir
