$$n$$ n -Fold filters of MTL-algebras

Abstract

In this paper, we define \(n\)-fold EIMTL and \(n\)-fold IMTL-filters of MTL-algebras and investigate some relations between these filters and \(n\)-fold (positive) implicative filters, \(n\)-fold fantastic filters and \(n\)-fold obstinate filters of MTL-algebras. Also, we investigate under what conditions the \(n\)-fold implicative MTL-algebra is the \(n\)-fold positive implicative MTL-algebra.