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Soft Translations and Soft Extensions of BCI/BCK-Algebras [PDF]
The 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
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A New Approach of Complex Fuzzy Ideals in BCK/BCI-Algebras [PDF]
MathematicsThe concept of complex fuzzy sets, where the unit disk of the complex plane acts as the codomain of the membership function, as an extension of fuzzy sets. The objective of this article is to use complex fuzzy sets in BCK/BCI-algebras.
Kholood Alsager +2 more
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Neutrosophic Quadruple BCK/BCI-Algebras [PDF]
Axioms, 2018 The notion of a neutrosophic quadruple BCK/BCI-number is considered, and a neutrosophic quadruple BCK/BCI-algebra, which consists of neutrosophic quadruple BCK/BCI-numbers, is constructed. Several properties are investigated, and a (positive implicative)
Young Bae Jun +2 more
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Generalization of Fuzzy Soft BCK/BCI-Algebras [PDF]
Journal 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
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Structures on Doubt Neutrosophic Ideals of BCK/BCI-Algebras under (S, T)-Norms [PDF]
Neutrosophic 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
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Subalgebras of BCK/BCI-Algebras Based on Cubic Soft Sets [PDF]
The 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
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New Type of Soft (Prime) Ideals in Commutative BCK-Algebras [PDF]
Jisuanji 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
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Definitions of BCK algebras and BCI algebras [PDF]
Advances in Intelligent Systems Research, 2015 In this paper, we consider the definitions of the BCK and BCI Algebra. We put out four examples in order to prove that any one of the four conditions in the definition of BCK algebra cannot be proofed by other three conditions. Next we simplify the definitions of the BCK and BCI Algebra by giving new equivalent conditions.
Li-xia Song, Kun-Long Zhang
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Quasi-Algebras versus Regular Algebras - Part I [PDF]
Scientific 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
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Commutative ideals of BCK-algebras and BCI-algebras based on soju structures
AIMS Mathematics, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Seok-Zun Song +2 more
openaire +3 more sources