Results 11 to 20 of about 164,918 (192)

Generalization of Fuzzy Soft BCK/BCI-Algebras

open access: yesJournal of Mathematics, 2021
In this paper, the notions of ∈,∈∨q-fuzzy soft BCK/BCI-algebras and ∈,∈∨q-fuzzy soft sub-BCK/BCI-algebras are introduced, and related properties are investigated.
N. Alam   +5 more
doaj   +2 more sources

Extended BCK-Ideal Based on Single-Valued Neutrosophic Hyper BCK-Ideals [PDF]

open access: yesBulletin of the Section of Logic, 2023
This paper introduces the concept of single-valued neutrosophic hyper \(BCK\)-subalgebras as a generalization and alternative of hyper \(BCK\)-algebras and on any given nonempty set constructs at least one single-valued neutrosophic hyper \(BCK ...
Mohammad Hamidi
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   +2 more sources

NEUTRO-BCK-ALGEBRA [PDF]

open access: yesInternational Journal of Neutrosophic Science, 2020
This paper introduces the novel concept of Neutro-BCK-algebra. In Neutro-BCK-algebra, the outcome of any given two elements under an underlying operation (neutro-sophication procedure) has three cases, such as: appurtenance, non-appurtenance, or indeterminate. While for an axiom: equal, non-equal, or indeterminate.
Hamidi, Mohammad, Smarandache, Florentin
core   +4 more sources

Multipolar Intuitionistic Fuzzy Hyper BCK-Ideals in Hyper BCK-Algebras

open access: yesMathematics, 2020
In 2020, Kang et al. introduced the concept of a multipolar intuitionistic fuzzy set of finite degree, which is a generalization of a k-polar fuzzy set, and applied it to a BCK/BCI-algebra. The specific purpose of this study was to apply the concept of a
Young Joo Seo   +3 more
doaj   +2 more sources

Annihilators in BCK-Algebras [PDF]

open access: yesCzechoslovak Mathematical Journal, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Halaš, Radomír
openaire   +2 more sources

HYPER BCK-ALGEBR

open access: yesRatio Mathematica, 1997
In this note the notion of a hyper BCK-algebra which is a generalization of a BCK-algebra introduced, and some basic properties for this algebra are proved.
M. Bolurian, A. Hasankhani
doaj   +1 more source

Rough and T-Rough Sets Arising from Intuitionistic Fuzzy Ideals in BCK-Algebras

open access: yesMathematics
This paper presents the novel concept of rough intuitionistic fuzzy ideals within the realm of BCK-algebras and investigates their fundamental properties.
Kholood M. Alsager, Sheza M. El-Deeb
doaj   +2 more sources

Rough Set Theory Applied To Hyper BCK-Algebra

open access: yesRatio Mathematica, 2014
The aim of this paper is to introduce the notions of lower and upper approximation of a subset of a hyper BCK-algebra with respect to a hyper BCK-ideal. We give the notion of rough hyper subalgebra and rough hyper BCK-ideal, too, and we investigate their
R. Ameri, R. Moradian, R. A. Borzooei
doaj   +2 more sources

Deductive systems of BCK-algebras [PDF]

open access: yes, 2004
In this paper we shall give some results on irreducible deductive systems in BCK-algebras and we shall prove that the set of all deductive systems of a BCK-algebra is a Heyting algebra. As a consequence of this result we shall show that the annihilator F∗ of a deductive system F is the the pseudocomplement of F. These results are more general than that
Celani, Sergio A., Celani, Sergio Arturo
openaire   +3 more sources

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