Results 11 to 20 of about 121 (85)

Vougiouklis Contributions in the Field of Algebraic Hyperstructures [PDF]

open access: closedRatio Mathematica, 2017
Thomas Vougiouklis was born in 1948,  Greece. He  has many contributions to algebraic hyperstructures. $H_v$-structures are  some of his main contributions. In this article, we study some of Vougiouklis ideas in the field of algebraic hyperstructures as follows: (1) Semi-direct hyperproduct of two hypergroups; (2) Representation of hypergroups; (3 ...
Bijan Davvaz
openalex   +3 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
openalex   +3 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

Algebraic Hyperstructures and Fuzzy Logic in the Treatment of Uncertainty

open access: closedScience & Philosophy, 2016
This study presents some fundamental aspects of recent theories  on algebraic Hyperstructures, an important tool for an interdisciplinary vision of Geometry and Algebra. We examine some hypergroupoids of events, useful for a new algebraic-geometry perspective in the study and issues of probability applications.
Antonio Maturo, Annamaria Porreca
openalex   +5 more sources

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

open access: closedTensor: 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
openalex   +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

Roadmap on Label‐Free Super‐Resolution Imaging

open access: yesLaser &Photonics Reviews, Volume 17, Issue 12, December 2023., 2023
This Roadmap presents a comprehensive vision of developments in the field of nanoscale imaging of non‐fluorescent objects with a focus on methods allowing to overcome the classical diffraction limit. The scope of this Roadmap spans from diffraction‐limited interference detection techniques to super‐resolution methods based on information science ...
Vasily N. Astratov   +53 more
wiley   +1 more source

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