Results 41 to 50 of about 868 (127)

BCI/BCK- quantum algebra [PDF]

, 2021
The paper contains an investigation of the notion of BCI-algebras and BCK-algebras. 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 ...
Tabuni, Muna
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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
doaj   +1 more source

Commutative Energetic Subsets of BCK-Algebras [PDF]

, 2016
The notions of a C-energetic subset and (anti) permeable C-value in BCK-algebras are introduced, and related properties are investigated. Conditions for an element t in [0, 1] to be an (anti) permeable C-value are provided.
Jun, Young Bae, Roh, Eun Hwan, Song, Seok Zun   +2 more
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Interval neutrosophic sets applied to ideals in BCK/BCI-algebras [PDF]

Neutrosophic 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, Madad Khan, Florentin Smarandache, Young Bae Jun   +3 more
doaj   +1 more source

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
doaj   +1 more source

Fuzzy Translations of Fuzzy H-ideals in $Bck/bci$-algebras [PDF]

, 2015
In this paper, the concepts of fuzzy translation to fuzzy H-ideals in BCK/BCI-algebras are introduced. The notion of fuzzy extensions and fuzzy mul-tiplications of fuzzy H-ideals with several related properties are investigated.
Senapati, T. (Tapan)
core   +1 more source

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

Journal 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
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Selected Properties of Some Generalizations of BCK Algebras

Discussiones Mathematicae - General Algebra and Applications, 2020
The notion of a RM algebra, introduced recently, is a generalization of many other algebras of logic. The class of RM algebras contains (weak-)BCC algebras, BCH algebras, BCI algebras, BCK algebras and many others. A RM algebra is an algebra A = (A; →, 1)
Dymek Grzegorz
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Commutative Ideals of BCI-Algebras Using MBJ-Neutrosophic Structures

Mathematics, 2021
As a generalization of a neutrosophic set, the notion of MBJ-neutrosophic sets is introduced by Mohseni Takallo, Borzooei and Jun, and it is applied to BCK/BCI-algebras.
Seok-Zun Song, Mehmet Ali Öztürk, Young-Bae Jun   +2 more
doaj   +1 more source