Results 1 to 10 of about 269 (166)
Journal of Mahani Mathematical Research, 2022 We know that $\Gamma-$ring, $\Gamma-$incline, $\Gamma-$semiring, $\Gamma-$semigroup are generalizations ofring, incline, semiring and semigroup respectively.
Arsham Borumand Saeid +2 more
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State BCK-algebras and state-morphism BCK-algebras [PDF]
Fuzzy Sets and Systems, 2014 In the paper, we define the notion of a state BCK-algebra and a state-morphism BCK-algebra extending the language of BCK-algebras by adding a unary operator which models probabilistic reasoning. We present a relation between state operators and state-morphism operators and measures and states on BCK-algebras, respectively.
Omid Zahiri +2 more
exaly +3 more sources
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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Negation and BCK-algebras [PDF]
Mathematical Logic Quarterly, 2003 AbstractIn this paper we consider twelve classical laws of negation and study their relations in the context of BCK‐algebras. A classification of the laws of negation is established and some characterizations are obtained. For example, using the concept of translation we obtain some characterizations of Hilbert algebras and commutative BCK‐algebras ...
Francisco Miguel García-Olmedo +1 more
exaly +2 more sources
A New Approach of Complex Fuzzy Ideals in BCK/BCI-Algebras
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
exaly +3 more sources
On Superhyper BCK-Algebras [PDF]
Neutrosophic Sets and Systems, 2023 BCK-algebras are algebraic structures in universal algebra such that are based on logical axioms and have some applications. This paper introduces the concept of super hyper BCK-algebras as a generalization of BCK-algebras and investigates some ...
Mohammad Hamidi
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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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Single-Valued Neutro Hyper BCK-Subalgebras
Journal of Mathematics, 2021 The purpose of this paper is to introduce the notation of single-valued neutrosophic hyper BCK-subalgebras and a novel concept of neutro hyper BCK-algebras as a generalization and alternative of hyper BCK-algebras, that have a larger applicable field. In
M. Hamidi, F. Smarandache
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Generalization of Fuzzy Soft BCK/BCI-Algebras
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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Extended BCK-Ideal Based on Single-Valued Neutrosophic Hyper BCK-Ideals
Bulletin 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 +1 more source