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Algebraic Hyperstructure of Multi-Fuzzy Soft Sets Related to Polygroups [PDF]

open access: goldMathematics, 2022
The combination of two elements in a group structure is an element, while, in a hypergroup, the combination of two elements is a non-empty set. The use of hypergroups appears mainly in certain subclasses.
Osman Kazancı   +2 more
doaj   +4 more sources

Introduction to Dependence Relations and Their Links to Algebraic Hyperstructures [PDF]

open access: goldMathematics, 2019
The aim of this paper is to study, from an algebraic point of view, the properties of interdependencies between sets of elements (i.e., pieces of secrets, atmospheric variables, etc.) that appear in various natural models, by using the algebraic ...
Irina Cristea   +2 more
doaj   +7 more sources

A physical example of algebraic hyperstructures: Leptons [PDF]

open access: closedIndian Journal of Physics, 2012
Algebraic hyperstructures represent a natural extension of classical algebraic structures in which the composition of two elements of a set is a set, instead of an element. The main purpose of this paper is to provide, for the first time, a physical example of hyperstructures associated with the elementary particle physics, Leptons.
Akbar Dehghan Nezhad   +3 more
semanticscholar   +5 more sources

On Refined Neutrosophic Algebraic Hyperstructures I [PDF]

open access: greenInternational Journal of Neutrosophic Science, 2020
Given any algebraic hyperstructure (X, ∗, ◦), the objective of this paper is to generate a refined neutrosophic algebraic hyperstructure (X(I1, I2), ∗', ◦') from X, I1 and I2 and study refined neutrosophic Krasner hyper-rings in particular.
Agboola, A, a A   +3 more
semanticscholar   +7 more sources

Hyperstructure Theory Applied to BF-Algebras [PDF]

open access: goldSymmetry, 2023
This study applies the hyperstructure theory to BF-algebra, which is an algebraic structure. In fact, we define hyper-BF-algebras and hyper-BF ideals and investigate several of their related characteristics. BF-algebra and hyper-BF ideal characteristics are taken into account, and supported examples are built.
G. Muhiuddin   +3 more
semanticscholar   +3 more sources

Algebraic Hyperstructures of Vague Soft Sets Associated with Hyperrings and Hyperideals. [PDF]

open access: goldScientificWorldJournal, 2015
We apply the classical theory of hyperrings to vague soft sets to derive the concepts of vague soft hyperrings, vague soft hyperideals, and vague soft hyperring homomorphism. The properties and structural characteristics of these concepts are also studied and discussed.
Selvachandran G, Salleh AR.
europepmc   +7 more sources

Algebra Hyperstructure Concept and Its Application on Oxidation Reduction: Actinium (Ac) and Berkelium (Bk)

open access: diamondTensor: Pure and Applied Mathematics Journal
The concept of algebraic hyperstructure is a generalization of the concept of algebraic structure. The algebraic hyperstructure concepts discussed in this research include hypergroups, semihypergroups, and -group and it is known that this concept has application in the field of science, one of which in the field of chemistry, namely redox reactions ...
Elsa Huwae   +3 more
semanticscholar   +4 more sources

On single valued neutrosophic sets and neutrosophic א-structures: Applications on algebraic structures (hyperstructures)

open access: closedInternational Journal of Neutrosophic Science, 2020
In this paper, we find a relationship between SVNS and neutrosophic N-structures and study it. Moreover, we apply our results to algebraic structures (hyperstructures) and prove that the results on neutrosophic N-substructure (subhyperstructure) of a given algebraic structure (hyperstructure) can be deduced from single valued neutrosophic algebraic ...
Madeleine Al Al-Tahan, Bijan Davvaz
semanticscholar   +3 more sources

Redox reactions as experimental examples of ternary weak algebraic hyperstructures

open access: greenBulletin of Computational Applied Mathematics, 2016
A ternary hyperoperation on a set H is a 3-ary hyperoperation, which associates a subset of H with any three elements of H. In this paper, we give examples of ternary hyperoperations associated with redox reactions.
Bijan Davvaz   +2 more
doaj   +3 more sources

Neutrosophic Quadruple Algebraic Hyperstructures

open access: greenSSRN Electronic Journal, 2023
The objective of this paper is to develop neutrosophic quadruple algebraic hyperstructures. Specically, we develop neutrosophic quadruple semihypergroups, neutrosophic quadruple canonical hypergroups and neutrosophic quadruple hyperrings and we present elementary properties which characterize them.
A. A. A. Agboola   +2 more
openalex   +2 more sources

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