Results 1 to 10 of about 107 (94)

Algebraic Hyperstructure of Multi-Fuzzy Soft Sets Related to Polygroups

open access: yesMathematics, 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 Kazanci   +2 more
exaly   +4 more sources

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

open access: yesScientificWorldJournal, 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   +5 more sources

A physical example of algebraic hyperstructures: Leptons [PDF]

open access: yesIndian 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.
Mehdi Nadjafikhah   +2 more
exaly   +4 more sources

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

open access: yesMathematics, 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   +4 more sources

Algorithms for determining the type of algebraic hyperstructures and morphisms [PDF]

open access: yesMathematics and Computational Sciences
In this paper, we present some primary methods to define a hypergroupoid by algorithm. Then, we present algorithms for checking if it is closed under ο, associativity, weak associativity, commutativity, weak commutativity, establishing the reproduction ...
Aboutorab Pourhaghani   +2 more
doaj   +2 more sources

Redox reactions as experimental examples of ternary weak algebraic hyperstructures

open access: yesBulletin 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   +2 more sources

On Refined Neutrosophic Canonical Hypergroups [PDF]

open access: yesNeutrosophic Sets and Systems, 2021
Refinement of neutrosophic algebraic structure or hyperstructure allows for the splitting of the indeterminate factor into different sub-indeterminate and gives a detailed information about the neutrosophic structure/hyperstructure considered. This paper
M.A. Ibrahim   +3 more
doaj   +1 more source

On soft topological hypergroups [PDF]

open access: yesJournal of Hyperstructures, 2020
Hyperstructure theory, initiated by Marty, is a generalization theory of classical algebraic structures, while soft settheory is a powerful mathematical approach for modeling uncertainties and imprecision.
Gulay Oguz
doaj   +1 more source

Soft set theoretic approach to hyperstructtures [PDF]

open access: yesJournal of Hyperstructures, 2016
In this paper, we have achieved hyperoperations us- ing soft set theory. We have showed that any given set H is a hyperstructure with And and Or operations in soft set theory.
Mustafa Burç Kandemir
doaj   +1 more source

On Refined Neutrosophic Algebraic Hyperstructures I [PDF]

open access: yesInternational 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   +3 more
openaire   +2 more sources

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