Introduction to Dependence Relations and Their Links to Algebraic Hyperstructures

Result code in 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>
Result on the web
<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>

Result language
angličtina
Original language name
Introduction to Dependence Relations and Their Links to Algebraic Hyperstructures
Original language description
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.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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