Results 31 to 40 of about 296 (172)

SB-neutrosophic structures in BCK/BCI-algebras [PDF]

Journal of Hyperstructures, 2023
This article presents the novel set termed SB - neutro-sophic set (SB-NSS), which extends the concept of the Neutrosophic set (NSS). We illustrate its fundamental operations with examples.This concept of SB-NSSs is appliedto BCK/BCI-algebras, and we ...
Bavanari Satyanarayana, Shake Baji, Dola Devanandam   +2 more
doaj   +1 more source

Ideal Theory in BCK/BCI-Algebras Based on Soft Sets and 𝒩-Structures

Discrete Dynamics in Nature and Society, 2012
Based on soft sets and 𝒩-structures, the notion of (closed) 𝒩-ideal over a BCI-algebra is introduced, and related properties are investigated. Relations between 𝒩-BCI-algebras and 𝒩-ideals are established.
Young Bae Jun, Kyoung Ja Lee, Min Su Kang   +2 more
doaj   +1 more source

Generalized Rough Sets Applied to BCK/BCI-Algebras

Discussiones Mathematicae - General Algebra and Applications, 2021
The concept of a (strong) set-valued BCK/BCI-morphism in BCK/BCI-algebras is considered, and several properties are investigated. Conditions for a set-valued mapping to be a set-valued BCK/BCI-morphism are given.
Jun Young Bae, Song Seok-Zun, Roh Eun Hwan   +2 more
doaj   +1 more source

Interval Valued m-polar Fuzzy BCK/BCI-Algebras

International Journal of Computational Intelligence Systems, 2021
The notion of interval-valued m-polar fuzzy sets (abbreviated IVmPF) is much wider than the notion of m-polar fuzzy sets. In this paper, we apply the theory of IVmPF on BCK/BCI-algebras.
G. Muhiuddin, D. Al-Kadi
doaj   +1 more source

Single valued neutrosophic ordered subalgebras of ordered BCI-algebras [PDF]

Neutrosophic Sets and Systems, 2023
In order to apply neutrosophic set theory to ordered BCI-algebra, the notion of single valued neutrosophic ordered subalgebra is introduced and several properties are investigated.
Eunsuk Yang, Eun Hwan Roh, Young Bae Jun
doaj   +1 more source

On Symmetric Left Bi-Derivations in BCI-Algebras

International Journal of Mathematics and Mathematical Sciences, 2013
The notion of symmetric left bi-derivation of a BCI-algebra X is introduced, and related properties are investigated. Some results on componentwise regular and d-regular symmetric left bi-derivations are obtained.
G. Muhiuddin, Abdullah M. Al-roqi, Young Bae Jun, Yilmaz Ceven   +3 more
doaj   +1 more source

Ideals of BCI-algebras and their Properties [PDF]

Formalized Mathematics, 2008
Summary. In this article three classes of ideals are discussed: associative ideals, commutative ideals, implicative ideals and positive implicative ideals, and their elementary properties. Some of their properties and the relationships between them have not been proven yet, and will be completed in the following article.
Chenglong Wu, Yuzhong Ding
openaire   +1 more source

On some classes of BCH-algebras

International Journal of Mathematics and Mathematical Sciences, 2001
The concept of a BCH-algebra is a generalization of the concept of a BCI-algebra. It is shown that weakly commutative BCH-algebras are weakly commutative BCI-algebras.
Muhammad Anwar Chaudhry, Hafiz Fakhar-Ud-Din   +1 more
doaj   +1 more source

Doubt fuzzy BCI‐algebras [PDF]

International Journal of Mathematics and Mathematical Sciences, 2002
The aim of this note is to introduce the notion of doubt fuzzy p‐ideals in BCI‐algebras and to study their properties. We also solve the problem of classifying doubt fuzzy p‐ideals and study fuzzy relations on BCI‐algebras.
Zhan Jianming, Tan Zhisong
openaire   +2 more sources

On Q-algebras

International Journal of Mathematics and Mathematical Sciences, 2001
We introduce a new notion, called a Q-algebra, which is a generalization of the idea of BCH/BCI/BCK-algebras and we generalize some theorems discussed in BCI-algebras.
Joseph Neggers, Sun Shin Ahn, Hee Sik Kim   +2 more
doaj   +1 more source