Results 1 to 10 of about 164,919 (198)
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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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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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
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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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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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(ANTI) FUZZY IDEALS OF SHEFFER STROKE BCK-ALGEBRAS [PDF]
Journal of Algebraic Systems, 2023 The aim of this study is to introduce (anti) fuzzy ideals of a Sheffer stroke BCK-algebra. After describing an anti fuzzy subalgebra and an anti fuzzy (sub-implicative) ideal of a Sheffer stroke BCK-algebra, the relationships of these structures are ...
Tahsin Oner +2 more
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Journal of New Theory, 2021 In the present manuscript, we introduce the concept of a discrete dynamical system (Ⱬ,Ψ) in BCK-algebra where Ⱬ is a BCK-algebra and Ψ is a homomorphism from Ⱬ to Ⱬ and establish some of their related properties. We prove that the set of all fixed points
Abdul Rehman, Dawood Khan
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Class of Sheffer stroke BCK-algebras
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 In this paper, Sheffer stroke BCK-algebra is defined and its features are investigated. It is indicated that the axioms of a Sheffer stroke BCK-algebra are independent.
Oner Tahsin +2 more
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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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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
openaire +1 more source