Javascript must be enabled to continue!
Modal operators on BCK-algebras
View through CrossRef
In this paper, modal operators on BCK-algebras, especially BCK-algebras with condition (S) are introduced and several properties and characterizations of them are investigated. Also, it is investigated under what conditions these modal operators form a lattice. Furthermore, some special modal operators are introduced and their properties and characterizations of them are obtained, especially in some classes of BCK-algebras such as positive implicative BCK- algebras.
KMAN Publication Incorporation
Title: Modal operators on BCK-algebras
Description:
In this paper, modal operators on BCK-algebras, especially BCK-algebras with condition (S) are introduced and several properties and characterizations of them are investigated.
Also, it is investigated under what conditions these modal operators form a lattice.
Furthermore, some special modal operators are introduced and their properties and characterizations of them are obtained, especially in some classes of BCK-algebras such as positive implicative BCK- algebras.
Related Results
Weak pseudo-BCK algebras
Weak pseudo-BCK algebras
Abstract
In this paper we define and study the weak pseudo-BCK algebras as generalizations of weak BCK-algebras, extending some results given by Cı⃖rulis for weak BC...
Intuitionistic Fuzzy Soft Hyper BCK Algebras
Intuitionistic Fuzzy Soft Hyper BCK Algebras
Maji et al. introduced the concept of fuzzy soft sets as a generalization of the standard soft sets, and presented an application of fuzzy soft sets in a decision-making problem. M...
Neutrosophic Quadruple BCK/BCI-Algebras
Neutrosophic Quadruple BCK/BCI-Algebras
The notion of a neutrosophic quadruple BCK/BCI-number is considered, and a neutrosophic quadruple BCK/BCI-algebra, which consists of neutrosophic quadruple BCK/BCI-numbers, is cons...
Quantum B-algebras
Quantum B-algebras
Abstract
The concept of quantale was created in 1984 to develop a framework for non-commutative spaces and quantum mechanics with a view toward non-commutative logic...
Relations between L-algebras and other logical algebras
Relations between L-algebras and other logical algebras
In this paper, by considering the notion of L-algebra, we show that there are relations between L-algebras and some of other logical algebras such as residuated lattices, MTL-alge...
BCK-monoids
BCK-monoids
Abstract
We generalize the notions of a pseudo BCK-algebra and a residuated lattice by introducing, respectively, extended BCK-algebras and BCK-monoids, and prove a ...
Differential graded vertex Lie algebras
Differential graded vertex Lie algebras
This is the continuation of the study of differential graded (dg) vertex algebras defined in our previous paper [Caradot et al., “Differential graded vertex operator algebras and t...
On FBZ-Algebras
On FBZ-Algebras
This paper introduces the concept of FBZ-algebra as a generalization of fuzzy implication algebra and investigates its fundamental properties. We establish a sufficient condition f...

