Results 1 to 10 of about 413 (118)

States and Measures on Hyper BCK-Algebras [PDF]

open access: yesJournal 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   +5 more sources

Rough Set Theory Applied To Hyper BCK-Algebra [PDF]

open access: yesRatio Mathematica, 2014
The aim of this paper is to introduce the notions of lower and upper approximation of a subset of a hyper BCK-algebra with respect to a hyper BCK-ideal. We give the notion of rough hyper subalgebra and rough hyper BCK-ideal, too, and we investigate their
R. Ameri, R. Moradian, R. A. Borzooei
doaj   +4 more sources

Classifications of Hyper Pseudo BCK-algebras of Order 3 [PDF]

open access: yesRatio 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   +4 more sources

Extended BCK-Ideal Based on Single-Valued Neutrosophic Hyper BCK-Ideals [PDF]

open access: yesBulletin 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   +4 more sources

Multipolar Intuitionistic Fuzzy Hyper BCK-Ideals in Hyper BCK-Algebras [PDF]

open access: yesMathematics, 2020
In 2020, Kang et al. introduced the concept of a multipolar intuitionistic fuzzy set of finite degree, which is a generalization of a k-polar fuzzy set, and applied it to a BCK/BCI-algebra. The specific purpose of this study was to apply the concept of a
Young Joo Seo   +3 more
doaj   +4 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

On Superhyper BCK-Algebras [PDF]

open access: yesNeutrosophic 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
doaj   +1 more source

Hyper JK-algebras [PDF]

open access: yesJournal of Hyperstructures, 2023
In this paper, we introduce the notion of hyper JK-algebras and investigate these algebras properties. Moreover, we present relationships between hyper JK-algebras and pseudo hyper BCK-algebras and hyper pseudo MV-algebras under some conditions.
Mohammad Ali Hashemi
doaj   +1 more source

Intuitionistic Fuzzy Soft Hyper BCK Algebras [PDF]

open access: yesSymmetry, 2019
Maji et al. introduced the concept of fuzzy soft sets as a generalization of the standard soft sets, and presented an application of fuzzy soft sets in a decision-making problem. Maji et al. also introduced the notion of intuitionistic fuzzy soft sets in the paper [P.K. Maji, R. Biswas and A.R.
Xiaolong Xin   +3 more
openaire   +1 more source

Fundamental pseudo BCK-algebras [PDF]

open access: yesJournal of Hyperstructures, 2016
In this paper, we de ne the relations and on hyper pseudo BCK-algebras and investigate some related properties. We give a necessary and sucient condition for to be regular. By using, we make the quotient hyper pseudo BCK-algebra. Finally, by applying the
Habib Harizavi   +2 more
doaj   +1 more source

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