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Keywords:
interval-valued structure; triangle algebra; interval valued residuated lattice filter; $n$-fold interval valued residuated lattice extended filter
interval-valued structure; triangle algebra; interval valued residuated lattice filter; $n$-fold interval valued residuated lattice extended filter
Summary:
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.
References:
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