Tsallis Entropy of Product MV-Algebra Dynamical Systems

This paper is concerned with the mathematical modelling of Tsallis entropy in product MV-algebra dynamical systems. We define the Tsallis entropy of order [Formula: see text] where [Formula: see text] of a partition in a product MV-algebra and its conditional version and we examine their properties....

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Detalles Bibliográficos
Autores principales: Markechová, Dagmar, Riečan, Beloslav
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2018
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7513117/
https://www.ncbi.nlm.nih.gov/pubmed/33265678
http://dx.doi.org/10.3390/e20080589
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author Markechová, Dagmar
Riečan, Beloslav
author_facet Markechová, Dagmar
Riečan, Beloslav
author_sort Markechová, Dagmar
collection PubMed
description This paper is concerned with the mathematical modelling of Tsallis entropy in product MV-algebra dynamical systems. We define the Tsallis entropy of order [Formula: see text] where [Formula: see text] of a partition in a product MV-algebra and its conditional version and we examine their properties. Among other, it is shown that the Tsallis entropy of order [Formula: see text] where [Formula: see text] has the property of sub-additivity. This property allows us to define, for [Formula: see text] the Tsallis entropy of a product MV-algebra dynamical system. It is proven that the proposed entropy measure is invariant under isomorphism of product MV-algebra dynamical systems.
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spelling pubmed-75131172020-11-09 Tsallis Entropy of Product MV-Algebra Dynamical Systems Markechová, Dagmar Riečan, Beloslav Entropy (Basel) Article This paper is concerned with the mathematical modelling of Tsallis entropy in product MV-algebra dynamical systems. We define the Tsallis entropy of order [Formula: see text] where [Formula: see text] of a partition in a product MV-algebra and its conditional version and we examine their properties. Among other, it is shown that the Tsallis entropy of order [Formula: see text] where [Formula: see text] has the property of sub-additivity. This property allows us to define, for [Formula: see text] the Tsallis entropy of a product MV-algebra dynamical system. It is proven that the proposed entropy measure is invariant under isomorphism of product MV-algebra dynamical systems. MDPI 2018-08-09 /pmc/articles/PMC7513117/ /pubmed/33265678 http://dx.doi.org/10.3390/e20080589 Text en © 2018 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Markechová, Dagmar
Riečan, Beloslav
Tsallis Entropy of Product MV-Algebra Dynamical Systems
title Tsallis Entropy of Product MV-Algebra Dynamical Systems
title_full Tsallis Entropy of Product MV-Algebra Dynamical Systems
title_fullStr Tsallis Entropy of Product MV-Algebra Dynamical Systems
title_full_unstemmed Tsallis Entropy of Product MV-Algebra Dynamical Systems
title_short Tsallis Entropy of Product MV-Algebra Dynamical Systems
title_sort tsallis entropy of product mv-algebra dynamical systems
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7513117/
https://www.ncbi.nlm.nih.gov/pubmed/33265678
http://dx.doi.org/10.3390/e20080589
work_keys_str_mv AT markechovadagmar tsallisentropyofproductmvalgebradynamicalsystems
AT riecanbeloslav tsallisentropyofproductmvalgebradynamicalsystems

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