Results 71 to 80 of about 164,918 (192)

Double-framed soft set theory applied to hyper BCK-algebras

, 2020
The notions of double-framed soft hyper BCK-algebra and double-framed soft (strong) hyper BCK-ideal of a hyper BCK-algebra are introduced, and related properties are investigated.
Bordbar, Hashem
core   +1 more source

Vague BCK/BCI-algebras [PDF]

Opuscula 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   +1 more source

On Traczyk’s BCK-sequences

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2022
BCK-sequences and n-commutative BCK-algebras were introduced by T. Traczyk, together with two related problems. The first one, whether BCK-sequences are always prolongable.
Denis Zelent
doaj  

FUZZY NEUTROSOPHIC PRIME IDEALS OF BCK-ALGEBRAS [PDF]

Journal of Algebraic Systems
In this research paper, we introduce and analyze the notion of fuzzy neutrosophic prime ideals (FNPIs) in a commutative BCK-algebra $\mathcal{K}$. It represents a further extension of prime ideals in the context of fuzzy neutrosophic sets.
Bavanari Satyanarayana, Shake Baji, Dola Devanandam   +2 more
doaj   +1 more source

Tripolar Picture Fuzzy Ideals of BCK-Algebras

, 2022
In this paper, we acquaint new kinds of ideals of BCK-algebras built on tripolar picture fuzzy structures. In fact, the notions of tripolar picture fuzzy ideal, tripolar picture fuzzy implicative ideal (commutative ideal) of BCK-algebra are introduced ...
Afaf Aljuhani, Manivannan Balamurugan, Ghulam Muhiuddin, Nabilah Abughazalah   +3 more
core   +1 more source

Intuitionistic fuzzy ideals of BCK-algebras

International Journal of Mathematics and Mathematical Sciences, 2000
We consider the intuitionistic fuzzification of the concept of subalgebras and ideals in BCK-algebras, and investigate some of their properties. We introduce the notion of equivalence relations on the family of all intuitionistic fuzzy ideals of a BCK ...
Young Bae Jun, Kyung Ho Kim
doaj   +1 more source

Graphs Based on BCK/BCI-Algebras

International Journal of Mathematics and Mathematical Sciences, 2011
The associated graphs of BCK/BCI-algebras will be studied. To do so, the notions of (l-prime) quasi-ideals and zero divisors are first introduced and related properties are investigated. The concept of associative graph of a BCK/BCI-algebra is introduced,
Young Bae Jun, Kyoung Ja Lee
doaj   +1 more source

COMMUTATIVE BCK-ALGEBRAS WITH PRODUCT

Demonstratio Mathematica, 2000
The author defines a product operation on every commutative BCK-algebra with the relative cancellation property. This product is distributive with respect to the partial operation + derived from the usual BCK operation. He shows that his product BCK algebras are categorically equivalent to a certain class of lattice-ordered rings.
openaire   +2 more sources

On BCK, BCI-Algebra

, 1981
본 연구에서는 수학적 구조 가운데서 대수적 구조의 한 분야인 BCK-대수와 BCI-대수에 대하여 다음 사항들을 알아보았다. (1) BCK-대수를 소개하고 몇 가지 예를 들었다. (2) BCK-대수의 성질 가운데서 ideal, implicative ideal, Kernel에 관한 간단한 성질들을 증명하여 보았다. (3) BCK-대수 사이의 homomorphism을 살피고 이것에서 유도되는 정리들을 증명하여 보았다.
안희진
core  

PC-lattices: A Class of Bounded BCK-algebras [PDF]

, 2018
In this paper, we define the notion of PC-lattice, as a generalization of finite positive implicative BCK-algebras with condition (S) and bounded commutative BCK-algebras.
Borzooei, Rajab Ali, Moradian, R., Radfar, Atefe, Shoar, Sadegh Khosravi   +3 more
core   +1 more source