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An investigation on the $n$-fold IVRL-filters in triangle algebras
Mathematica Bohemica, Tome 145 (2020) no. 1, pp. 75-91
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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.
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.
DOI : 10.21136/MB.2019.0104-17
Classification : 03B50, 03B52, 08A30, 08A72
Keywords: interval-valued structure; triangle algebra; interval valued residuated lattice filter; $n$-fold interval valued residuated lattice extended filter 
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Zahiri, Saeide; Borumand Saeid, Arsham. An investigation on the $n$-fold IVRL-filters in triangle algebras. Mathematica Bohemica, Tome 145 (2020) no. 1, pp. 75-91. doi: 10.21136/MB.2019.0104-17

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