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Soft Translations and Soft Extensions of BCI/BCK-Algebras [PDF]

open access: yesThe Scientific World Journal, 2014
The concept of soft translations of soft subalgebras and soft ideals over BCI/BCK-algebras is introduced and some related properties are studied. Notions of Soft extensions of soft subalgebras and soft ideals over BCI/BCK-algebras are also initiated ...
Nazra Sultana   +3 more
doaj   +6 more sources

Quasi-Algebras versus Regular Algebras - Part I [PDF]

open access: yesScientific Annals of Computer Science, 2015
Starting from quasi-Wajsberg algebras (which are generalizations of Wajsberg algebras), whose regular sets are Wajsberg algebras, we introduce a theory of quasi-algebras versus, in parallel, a theory of regular algebras.
A. Iorgulescu
doaj   +3 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   +3 more sources

Vague BCK/BCI-algebras [PDF]

open access: yesOpuscula Mathematica, 2009
In this note, by using the concept of vague sets, the notion of vague \(BCK/BCI\)-algebra is introduced. And the notions of \(\alpha\)-cut and vague-cut are introduced and the relationships between these notions and crisp subalgebras are studied.
Arsham Borumand Saeid
doaj   +3 more sources

Subalgebras of BCK/BCI-Algebras Based on Cubic Soft Sets [PDF]

open access: yesThe Scientific World Journal, 2014
Operations of cubic soft sets including “AND” operation and “OR” operation based on P-orders and R-orders are introduced and some related properties are investigated.
G. Muhiuddin, Feng Feng, Young Bae Jun
doaj   +2 more sources

Soft normed rings. [PDF]

open access: yesSpringerplus, 2016
Uluçay V, Şahin M, Olgun N.
europepmc   +2 more sources

New Type of Soft (Prime) Ideals in Commutative BCK-Algebras [PDF]

open access: yesJisuanji kexue yu tansuo, 2022
The soft set theory is an important mathematical tool for dealing with uncertainty. By endowing a par-ameter set as a commutative BCK-algebra (that is commutative weak-BCI-algebra), the notions of a new type of soft prime ideals, annihilators of soft ...
HUANG Yu, LIAO Zuhua
doaj   +1 more source

Structures on Doubt Neutrosophic Ideals of BCK/BCI-Algebras under (S, T)-Norms [PDF]

open access: yesNeutrosophic Sets and Systems, 2020
Smarandache implemented the idea of neutrosophic set theory as a method for dealing undetermined data. Neutrosophic set theory is commonly used in various algebric structures, such as groups, rings and BCK/BCI-algebras.
Anas Al-Masarwah, Abd Ghafur Ahmad
doaj   +1 more source

Commutative ideals of BCK-algebras and BCI-algebras based on soju structures

open access: yesAIMS Mathematics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Seok-Zun Song   +2 more
openaire   +3 more sources

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   +1 more source

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