This paper mainly focus on building the ideals theory of non regular residuated lattices.
Firstly, the notions of ideals and fuzzy ideals of a residuated lattice are introduced, their …

The notions of a (Boolean, prime, ultra, good) hesitant fuzzy filter and a hesitant fuzzy MV-
filter of an MTL-algebras are introduced, and their relations are investigated …

The main goal of this paper is to study universal and existential quantifiers on involutive
monoidal t-norm based algebras, which are algebraic semantics for the logic of involutive …

In this paper, we further study the variety of monadic nilpotent minimum (NM)-algebras and
their corresponding logic. In order to solve the drawback of monadic NM-algebras, we …

In this paper, by considering the notion of pseudo hoop-algebras, which introduced by G.
Georgescu et al. in [11] under the name of residuated integral monoids, and pseudo MV …

Equality algebras were introduced by S. Jenei as a possible algebraic semantic for fuzzy
type theory. In this paper, we introduce some types of filters such as (positive) implicative …

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 …

The concept of topological IL-algebra is introduced in this paper. It generalizes the idea of
topological FL ew-algebra, BL-algebra, and MV-algebra. Linear topology on IL-algebra is …

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 this paper, the concept of the fuzzy filter of IL-algebra is introduced. This concept
generalizes the notion of the fuzzy filter of BL-algebra, MTL-algebra, and other allied …