Introduction to Dependence Relations and Their Links to Algebraic Hyperstructures

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F19%3APU133417" target="_blank" >RIV/00216305:26220/19:PU133417 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.mdpi.com/2227-7390/7/10/885" target="_blank" >https://www.mdpi.com/2227-7390/7/10/885</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3390/math7100885" target="_blank" >10.3390/math7100885</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Introduction to Dependence Relations and Their Links to Algebraic Hyperstructures

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Introduction to Dependence Relations and Their Links to Algebraic Hyperstructures

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2019

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Mathematics

ISSN

2227-7390

e-ISSN

—

Svazek periodika

2019

Číslo periodika v rámci svazku

7

Stát vydavatele periodika

CH - Švýcarská konfederace

Počet stran výsledku

14

Strana od-do

1-4

Kód UT WoS článku

000498404700014

EID výsledku v databázi Scopus

2-s2.0-85073778774