Results 11 to 20 of about 189 (116)

Applications of (Neutro/Anti)sophications to Semihypergroups [PDF]

open access: yesJournal of Mathematics, 2021
In this paper, we extend the notion of semi-hypergroups (resp. hypergroups) to neutro-semihypergroups (resp. neutro-hypergroups). We investigate the property of anti-semihypergroups (resp. anti-hypergroups).
A. Rezaei, F. Smarandache, S. Mirvakili
doaj   +3 more sources

Properties of n-ary hypergroups relevant for modelling trajectories in HD maps

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022
In the paper we show that trajectories used in HD maps of autonomous vehicles can be well modelled by means of n-ary hyperoperations and hypergroups. We investigate some properties of such hypergroups.
Křehlík Štěpán   +2 more
doaj   +2 more sources

The Reducibility Concept in General Hyperrings

open access: yesMathematics, 2021
By using three equivalence relations, we characterize the behaviour of the elements in a hypercompositional structure. With respect to a hyperoperation, some elements play specific roles: their hypercomposition with all the elements of the carrier set ...
Irina Cristea, Milica Kankaraš
doaj   +3 more sources

Some New Directions in Soft (Fuzzy) Hypermodules

open access: yesFuzzy Information and Engineering, 2022
We introduce and study some new directions on soft hypermodules and soft fuzzy hypermodules. In this regard, we apply soft set theory to hypermodules to introduce the classes of soft hypermodules and soft fuzzy hypermodules and obtain their basic ...
M. Norouzi, R. Ameri
doaj   +2 more sources

Note on Isomorphism Theorems of Hyperrings [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2010
There are different notions of hyperrings (𝑅,+,⋅). In this paper, we extend the isomorphism theorems to hyperrings, where the additions and the multiplications are hyperoperations.
Muthusamy Velrajan, Arjunan Asokkumar
doaj   +2 more sources

Derived Hyperstructures from Hyperconics

open access: yesMathematics, 2020
In this paper, we introduce generalized quadratic forms and hyperconics over quotient hyperfields as a generalization of the notion of conics on fields.
Vahid Vahedi   +5 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   +1 more source

Penentuan Hiperstruktur Aljabar dan Karakteristiknya dalam Masalah Pewarisan Biologi

open access: yesJambura Journal of Mathematics
This article discusses the application of mathematics in biological inheritance problems, which are closely linked to mathematical studies, particularly in algebraic hyperstructures, including hypergroupoids, hypergroups, and -semigroups.
Alifa Raida Alamsyah   +2 more
doaj   +2 more sources

Vougiouklis Contributions in the Field of Algebraic Hyperstructures [PDF]

open access: yesRatio 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.
Bijan Davvaz
doaj   +2 more sources

An Overview of Topological and Fuzzy Topological Hypergroupoids [PDF]

open access: yesRatio Mathematica, 2017
On a hypergroup, one can define a topology such that the hyperoperation is pseudocontinuous or continuous. This concepts can be extend to the fuzzy case and a connection between the classical and the fuzzy (pseudo)continuous hyperoperations can be given.
Sarka Mayerova
doaj   +3 more sources

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