Results 11 to 20 of about 177 (90)

Fuzzy structures of PI(≪,⫅,⫅)BCK-ideals in hyper BCK-algebras [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2003
The fuzzification of PI(≪,⫅,⫅)BCK‐ideals is considered. Using the notion of α‐cut, characterization of fuzzy PI(≪, ⫅, ⫅) BCK‐ideals is given. Conditions for a fuzzy set to be a fuzzy PI(≪, ⫅, ⫅) BCK‐ideal are provided.
Young Bae Jun, Wook Hwan Shim
doaj   +3 more sources

Classifications of Hyper Pseudo BCK-algebras of Order 3

open access: greenRatio Mathematica, 2012
In this paper by considering the notion of hyper pseudo BCK-algebra, we classify the set of all non-isomorphic hyper pseudo BCK-algebras of order 3. For this, we define the notion of simple and normalcondition and we characterize the all of hyper pseudo ...
R. A. Borzooei, A. Rezazadeh, R. Ameri
doaj   +2 more sources

Single-Valued Neutro Hyper BCK-Subalgebras

open access: yesJournal 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
doaj   +2 more sources

Coding theory and hyper BCK-algebras [PDF]

open access: yesJournal of Hyperstructures, 2018
In this paper we define the notion of a hyper BCK valued function on a set and investigate some of it’s related properties as Y.B. Jun, S.Z. Song and C. Flaut have done for a BCK-algebras.
Atamewoue Tsafack Surdive   +2 more
doaj   +2 more sources

MBJ-neutrosophic hyper $ BCK $-ideals in hyper $ BCK $-algebras

open access: goldAIMS Mathematics, 2021
In 2018, Takallo et al. introduced the concept of an MBJ-neutrosophic structure, which is a generalization of a neutrosophic structure, and applied it to a BCK/BCI-algebra. The aim of this study is to apply the notion of an MBJ-neutrosophic structure to a hyper BCK-algebra.
Abdelaziz Alsubie, Anas Al-Masarwah
openalex   +3 more sources

Fuzzy point hyper BCK-algebras

open access: hybridIndian Journal of Science and Technology, 2010
By using the concept of fuzzy points, we generalize the notion of hyper BCK-algebra and the notions of fuzzy point hyper BCK-(sub) algebras, fuzzy point (weak, strong) hyper BCK-ideals, quasi hyper BCK-(sub) algebras and quasi (weak, strong) hyper BCK-ideals are introduced. The relationship between these notions are stated and proved. Finally, we study
Arsham Borumand Saeid
openalex   +2 more sources

Quotient hyper pseudo BCK-algebras

open access: bronzeDiscussiones Mathematicae - General Algebra and Applications, 2013
In this paper, we rst investigate some properties of the hyper pseudo BCK-algebras. Then we dene the concepts of strong and reexive hyper pseudo BCK- ideals and establish some relationships among them and the other types of hyper pseudo BCK- ideals.
Rajab Ali Boorzoei   +2 more
openalex   +2 more sources

Topologies on a Hyper Sum and Hyper Product of Two Hyper BCK-algebras

open access: diamondEuropean Journal of Pure and Applied Mathematics, 2019
Given a hyper BCK-algebra (H, ∗, 0), each of the families BL(H) = {LH(A) : ∅ 6=A ⊆ H} and BR(H) = {RH(A) : ∅ 6= A ⊆ H} forms a base for some topology on H, where LH(A) = {x ∈ H : x a, ∀a ∈ A} and RH(A) = {x ∈ H : a x, ∀a ∈ A} for any subset A of H. In this paper, we determine the bases of the topologies induced by the hyper sum H1
Rachel Moridas Patangan, Sergio R. Canoy
openalex   +3 more sources

On hyper BCC-algebras

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2006
We study hyper BCC-algebras which are a common generalization of BCC-algebras and hyper BCK-algebras. In particular, we investigate different types of hyper BCC-ideals and describe the relationship among them.
R. A. Borzooei   +2 more
doaj   +2 more sources

Some Closure Operators and Topologies on a Hyper BCK-algebra

open access: diamondEuropean Journal of Pure and Applied Mathematics, 2020
Given a hyper BCK-algebra (H,*,0), we introduce some subsets of H and use them to generate two closure opeeatots on H. In this paper we show that each of tje two closurenoperators on H can be utilized to form a base for some topology on H.
Rachel Moridas Patangan, Sergio R. Canoy
  +5 more sources

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