Detail publikačního výsledku

Introduction to Dependence Relations and Their Links to Algebraic Hyperstructures

CRISTEA, I.; KOCIJAN, J.; NOVÁK, M.

Originální název

Introduction to Dependence Relations and Their Links to Algebraic Hyperstructures

Anglický název

Introduction to Dependence Relations and Their Links to Algebraic Hyperstructures

Druh

Článek WoS

Originální abstrakt

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 hyperstructure theory. Starting from specific examples, we first define the relation of dependence and study its properties, and then, we construct various hyperoperations based on this relation. We prove that two of the associated hypergroupoids are Hv-groups, while the other two are, in some particular cases, only partial hypergroupoids. Besides, the extensivity and idempotence property are studied and related to the cyclicity. The second goal of our paper is to provide a new interpretation of the dependence relation by using elements of the theory of algebraic hyperstructures.

Anglický abstrakt

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 hyperstructure theory. Starting from specific examples, we first define the relation of dependence and study its properties, and then, we construct various hyperoperations based on this relation. We prove that two of the associated hypergroupoids are Hv-groups, while the other two are, in some particular cases, only partial hypergroupoids. Besides, the extensivity and idempotence property are studied and related to the cyclicity. The second goal of our paper is to provide a new interpretation of the dependence relation by using elements of the theory of algebraic hyperstructures.

Klíčová slova

hyperoperation; hypergroupoid; dependence relation; influence; impact

Klíčová slova v angličtině

hyperoperation; hypergroupoid; dependence relation; influence; impact

Autoři

CRISTEA, I.; KOCIJAN, J.; NOVÁK, M.

Rok RIV

2020

Vydáno

23.09.2019

Nakladatel

MDPI

ISSN

2227-7390

Periodikum

Mathematics

Svazek

7

Číslo

10

Stát

Švýcarská konfederace

Strany od

1

Strany do

4

Strany počet

14

URL

https://www.mdpi.com/2227-7390/7/10/885

Plný text v Digitální knihovně

http://hdl.handle.net/11012/188981

BibTex

@article{BUT158840,
  author="Irina {Cristea} and Juš {Kocijan} and Michal {Novák}",
  title="Introduction to Dependence Relations and Their Links to Algebraic Hyperstructures",
  journal="Mathematics",
  year="2019",
  volume="7",
  number="10",
  pages="1--4",
  doi="10.3390/math7100885",
  url="https://www.mdpi.com/2227-7390/7/10/885"
}

Dokumenty

mathematics-07-00885-v2