Results 31 to 40 of about 269 (166)

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

Journal 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, N. Alam, S. Obeidat, N. M. Khan, H. N. Zaidi, S. A. K. Kirmani, A. Altaleb, J. M. Aqib   +7 more
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Interior BCK/BCI-Algebras

International 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, Hashem Bordbar, Young Bae Jun   +2 more
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Annihilators in BCK-Algebras [PDF]

Czechoslovak Mathematical Journal, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Coding theory and hyper BCK-algebras [PDF]

Journal of Hyperstructures, 2018
In this paper we define the notion of a hyper BCK valued function on a set and investigate some of it’s related properties as Y.B. Jun, S.Z. Song and C. Flaut have done for a BCK-algebras.
Atamewoue Tsafack Surdive, Njeya Selestin, Lele C´elestin   +2 more
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ON WEAK EXTENDED ORDER ALGEBRAS WITH ADJOINT PAIRS AND GALOIS PAIRS [PDF]

Journal of Algebraic Systems
In this paper, we consider properties of weak extended order algebras with adjoint pairs and Galois pairs, and prove some new results. Moreover, we clarify the relation between these algebras and BCK-algebras, that is, the class of all normal weak ...
Michiro Kondo
doaj   +1 more source

Introduction to Neutrosophic BCI/BCK-Algebras

International 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
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An Approach to BMBJ-Neutrosophic Hyper-BCK-Ideals of Hyper-BCK-Algebras

Journal of Mathematics, 2021
In this article, a new idea of BMBJ-neutrosophic hyper-BCK-algebras is introduced and some of its properties are investigated. Here, BMBJ-neutrosophic hyper-BCK-ideal, BMBJ-neutrosophic weak hyper-BCK-ideal, BMBJ-neutrosophic s-weak hyper-BCK-ideal, and ...
Abdelaziz Alsubie, Anas Al-Masarwah, Young Bae Jun, Abd Ghafur Ahmad   +3 more
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ON REPRESENTATIONS OF COMMUTATIVE BCK-ALGEBRAS

Demonstratio Mathematica, 1999
A commutative BCK-algebra has the relative cancellation property if for \(x,y\geq a\), \(x*a= y*a\) implies that \(x=y\). Any upwards directed commutative BCK-algebra has this property. The authors consider imbeddings of such algebras into Abelian lattice-ordered groups, and universal groups for the BCK-clans derived from the BCK-algebras.
DVURECENSKIJ A, GRAZIANO, MARIA GABRIELLA   +1 more
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On hyper BCC-algebras

International Journal of Mathematics and Mathematical Sciences, 2006
We study hyper BCC-algebras which are a common generalization of BCC-algebras and hyper BCK-algebras. In particular, we investigate different types of hyper BCC-ideals and describe the relationship among them.
R. A. Borzooei, W. A. Dudek, N. Koohestani   +2 more
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The prime spectrum of a BCI-algebra [PDF]

Journal of Mahani Mathematical Research
The aim of the present paper is to define the prime spectrum of a BCI-algebra as a generalization of prime spectrum BCK-algebras with respect to prime ideals.
Ardavan Najafi, Arsham Borumand Saeid
doaj   +1 more source