Results 11 to 20 of about 79,107 (154)

Generalized Rough Sets Applied to BCK/BCI-Algebras [PDF]

open access: yesDiscussiones 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   +2 more
doaj   +2 more sources

BMBJ-neutrosophic subalgebra in BCI/BCK-algebras [PDF]

open access: yesNeutrosophic Sets and Systems, 2019
For the first time Smarandache introduced neutrosophic sets which can be used as a mathematical tool for dealing with indeterminate and inconsistent information.
H. Bordbar   +3 more
doaj   +4 more sources

Introduction to Neutrosophic BCI/BCK-Algebras [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2015
We introduce the concept of neutrosophic BCI/BCK-algebras. Elementary properties of neutrosophic BCI/BCK algebras are presented.
A. A. A. Agboola, B. Davvaz
doaj   +2 more sources

Fuzzy Set Theoretic Approach to Generalized Ideals in BCK/BCI-Algebras

open access: yesJournal of Function Spaces, 2022
This paper deals with the study of generalizations of fuzzy subalgebras and fuzzy ideals in BCK/BCI-algebras. In fact, the notions of ∈,∈∨κ~∗,qκ~-fuzzy subalgebras, ∈,∈∨κ~∗,qκ~-fuzzy ideals, and ∈∨κ~∗,qκ~,∈∨κ~∗,qκ~-fuzzy ideals in BCK/BCI-algebras are ...
G. Muhiuddin   +7 more
doaj   +2 more sources

Double-Framed Soft Sets with Applications in BCK/BCI-Algebras [PDF]

open access: yesJournal of Applied Mathematics, 2012
In order to lay a foundation for providing a soft algebraic tool in considering many problems that contain uncertainties, the notion of double-framed soft sets is introduced, and applications in BCK/BCI-algebras are discussed.
Young Bae Jun, Sun Shin Ahn
doaj   +2 more sources

On branchwise implicative BCI-algebras [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2002
We introduce a new class of BCI-algebras, namely the class of branchwise implicative BCI-algebras. This class contains the class of implicative BCK-algebras, the class of weakly implicative BCI-algebras (Chaudhry, 1990), and the class of medial BCI ...
Muhammad Anwar Chaudhry
doaj   +2 more sources

Interior BCK/BCI-Algebras [PDF]

open access: yesInternational Journal of Computational Intelligence Systems, 2021
The notions of interior BCK/BCI-algebras, positive implicative interior BCK-algebras, (weak) interior ideals, positive implicative interior ideals, a positive implicative weak interior ideal of type 1, type 2, and type 3 are introduced, and related ...
Sun Shin Ahn   +2 more
doaj   +3 more sources

Interval neutrosophic sets applied to ideals in BCK/BCI-algebras [PDF]

open access: yesNeutrosophic Sets and Systems, 2017
In this article, we apply the notion of interval neutrosophic sets to ideal theory in BCK/BCI-algebras.
Seok-Zun Song   +3 more
doaj   +4 more sources

Graphs Based on BCK/BCI-Algebras [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2011
The associated graphs of BCK/BCI-algebras will be studied. To do so, the notions of (l-prime) quasi-ideals and zero divisors are first introduced and related properties are investigated. The concept of associative graph of a BCK/BCI-algebra is introduced,
Young Bae Jun, Kyoung Ja Lee
doaj   +2 more sources

Length Neutrosophic Subalgebras of BCK=BCI-Algebras [PDF]

open access: yesBulletin of the Section of Logic, 2020
Given i, j, k ∈ {1,2,3,4}, the notion of (i, j, k)-length neutrosophic subalgebras in BCK=BCI-algebras is introduced, and their properties are investigated.
Young Bae Jun   +3 more
doaj   +3 more sources

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