Results 21 to 30 of about 3,005 (92)

FUZZY TRANSLATIONS AND FUZZY MULTIPLICATIONS OF HYPER BCK-ALGEBRAS [PDF]

open access: yesHonam Mathematical Journal, 2011
Fuzzy -translations, (normalized, maximal) fuzzy extensions and fuzzy multiplications of fuzzy hyper BCK-subalgebras in hyper BCK-algebras are discussed. Relations among fuzzy translations, (normalized, maximal) fuzzy extensions and fuzzy multiplications are investigated.
Min-Su Kang
exaly   +2 more sources

Rough Set Theory Applied To Hyper BCK-Algebra

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   +1 more source

Classifications of Hyper Pseudo BCK-algebras of Order 3

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   +1 more source

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

Extended BCK-Ideal Based on Single-Valued Neutrosophic Hyper BCK-Ideals

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   +1 more source

Applications on Bipolar Vague Soft Sets

open access: yesJournal of Mathematics, Volume 2023, Issue 1, 2023., 2023
The purpose of this research is to interpolate bipolarity into the definition of the vague soft set. This gives a new more applicable, flexible, and generalized extension of the soft set, the fuzzy soft set, or even the vague soft set, which is the bipolar vague soft set.
Hanan H. Sakr   +4 more
wiley   +1 more source

A Novel Characterization of Fuzzy Soft Substructures in Quantales Theory

open access: yesComplexity, Volume 2023, Issue 1, 2023., 2023
In this paper, we use an algebraic structure quantale and define the idea of fuzzy soft substructures as a generalization of fuzzy substructures in quantale. These fuzzy soft substructures include fuzzy soft subquantales, fuzzy soft ideals, fuzzy soft prime ideals, fuzzy soft semiprime ideals, and fuzzy soft primary ideals.
Saqib Mazher Qurashi   +5 more
wiley   +1 more source

Generalizations of Fuzzy q‐Ideals of BCI‐Algebras

open access: yesJournal of Mathematics, Volume 2022, Issue 1, 2022., 2022
In this paper, we introduce the notion of (∈, ∈∨(κ∗, qκ))‐fuzzy q‐ideals of BCI‐algebras to propose a more general form of fuzzy q‐ideals of BCI‐algebras. We prove that (∈, ∈∨q)‐fuzzy q‐ideals and (∈∨(κ∗, qκ), ∈∨(κ∗, qκ))‐fuzzy q‐ideals are (∈, ∈∨(κ∗, qκ))‐fuzzy q‐ideals, but the converse assertion is not valid and examples are given to support this ...
G. Muhiuddin   +5 more
wiley   +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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