Results 1 to 10 of about 206 (143)

$\gamma$- BCK algebras [PDF]

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, M Murali Krishna Rao, R Kumar Kona   +2 more
doaj   +2 more sources

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.
A Dvurečenskij, Omid Zahiri
exaly   +3 more sources

States and Measures on Hyper BCK-Algebras [PDF]

Journal of Applied Mathematics, 2014
We define the notions of Bosbach states and inf-Bosbach states on a bounded hyper BCK-algebra (H,∘,0,e) and derive some basic properties of them. We construct a quotient hyper BCK-algebra via a regular congruence relation.
Xiao-Long Xin, Pu Wang
doaj   +4 more sources

Neutrosophic Quadruple BCK/BCI-Algebras

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, Seok-Zun Song, Florentin Smarandache   +2 more
exaly   +3 more sources

Fuzzy Filter Spectrum of a BCK Algebra [PDF]

International Journal of Mathematics and Mathematical Sciences, 2011
The notion of fuzzy s-prime filters of a bounded BCK-algebra is introduced. We discuss the relation between fuzzy s-prime filters and fuzzy prime filters.
Xiao Long Xin, Wei Ji, Xiu Juan Hua
doaj   +3 more sources

Commutative Pseudo Valuations on BCK-Algebras [PDF]

International Journal of Mathematics and Mathematical Sciences, 2011
The notion of a commutative pseudo valuation on a BCK-algebra is introduced, and its characterizations are investigated. The relationship between a pseudo valuation and a commutative pseudo-valuation is examined.
Myung Im Doh, Min Su Kang
doaj   +3 more sources

(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, T Kalkan, Arsham Borumand Saeid   +2 more
doaj   +1 more source

A New View of Homomorphic Properties of BCK-Algebra in Terms of Some Notions of Discrete Dynamical System

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
doaj   +1 more source

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
doaj   +1 more source

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, Kalkan Tugce, Saeid Arsham Borumand   +2 more
doaj   +1 more source