Filters play an important role in studying logical systems and the related algebraic structures.
Various filters have been proposed in the literature. In this paper, we aim to develop a …

In the mathematical literature, many types of filters in residuated lattices or in special classes
of residuated lattices (BL-algebras, MTL-algebras, etc.) have been studied. Consequently …

At present, the filter theory of $ BL $ textit {-} algebras has been widelystudied, and some
important results have been published (see for examplecite {4}, cite {5}, cite {xi}, cite {6}, cite …

The aim of this paper is to develop the filter theory of general residuated lattices. First, we
extend some particular types of filters and fuzzy filters in BL-algebras and MTL-algebras …

The authors introduce the notions of (∈, ∈ ∨ q)-fuzzy Boolean (implicative, positive
implicative, and fantastic) filters in BL-algebras, present some characterizations on these …

The aim of this work is to introduce the concepts of IMTL-filters and strong MTL-filters in MTL-
algebras and show that these filters are related to IMTL-algebras and strong MTL-algebras …

The concepts of (∈¯,∈¯∨ q¯)-fuzzy (implicative, positive implicative and fantastic) filters of
BL-algebras are introduced and some related properties are investigated. Some …

In this paper, the authors study the notion of n-fold implicative and fuzzy n-fold implicative
filters, which correspond to various sets of provable formulaes, in BL-algebras. Several …

The aim of this paper is to introduce the notions of interval valued (∈,∈∨ q)-fuzzy Boolean
(implicative, positive implicative and fantastic) filters in BL-algebras and to investigate some …

In this paper we consider fundamental properties of some types of filters (Boolean, positive
implicative, implicative and fantastic filters) of BL algebras defined in Haveshki et al.(Soft …