Results 1 to 10 of about 112 (85)

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 Kazancı   +2 more
doaj   +5 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   +6 more sources

Hyperstructure Theory Applied to BF-Algebras

open access: yesSymmetry, 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.
G Muhiuddin   +2 more
exaly   +3 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   +2 more sources

Helix-Hopes on Finite Hyperfields [PDF]

open access: yesRatio Mathematica, 2016
Hyperstructure theory can overcome restrictions which ordinary algebraic structures have. A hyperproduct on non-square ordinary matrices can be defined by using the so called helix-hyperoperations.
Thomas Vougiouklis, Souzana Vougiouklis
doaj   +2 more sources

On Neutrosophic Canonical Hypergroups and Neutrosophic Hyperrings [PDF]

open access: yesNeutrosophic Sets and Systems, 2014
A neutrosophic hyperstructure is an algebraic structure generated by a given hyperstructure H and an indeterminacy factor I under the hyperoperation(s) of H.
A.A.A. Agboola, B. Davvaz
doaj   +2 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

Hyperstructures in Lie-Santilli Admissibility and Iso-Theories [PDF]

open access: yesRatio Mathematica, 2017
In the quiver of hyperstructures Professor R. M. Santilli, in early 90'es, tried to find algebraic structures in order to express his pioneer Lie-Santilli's Theory.
Maria Santilli Ruggero   +1 more
doaj   +2 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

Elements of Hyperstructure Theory in UWSN Design and Data Aggregation

open access: yesSymmetry, 2019
In our paper we discuss how elements of algebraic hyperstructure theory can be used in the context of underwater wireless sensor networks (UWSN). We present a mathematical model which makes use of the fact that when deploying nodes or operating the ...
Michal Novak   +2 more
exaly   +2 more sources

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