Fractional order differential calculus applied on decision making system to smart grid management via decision trees

Detalhes bibliográficos
Autor(a) principal: Costa, Heictor Alves de Oliveira
Data de Publicação: 2021
Outros Autores: Gomes, Larissa Luz, Costa, Denis Carlos Lima, Rocha, Erick Melo, Francês, Carlos Renato, Andrade, Sergio Henrique
Tipo de documento: Artigo
Idioma: por
Título da fonte: Research, Society and Development
Texto Completo: https://rsdjournal.org/index.php/rsd/article/view/23387
Resumo: This article portrays the relationship between fractional order differential calculus and the computational intelligence method, applying it to the improvement of intelligent systems. The Kirchhoff Laws, represented by second order differential equations, were solved via non-integer order differential calculus. The results obtained were used in the implementation of decision trees, which allowed the decision rules to be incorporated into the controllers. The results obtained by mathematical modeling did magnify the information extracted from Kirchhoff's Laws. Due to the gain magnitude of this information, the decision trees were obtained with greater precision and accuracy. In this way, it was achieved to build a hybrid system capable of being used in the development of controllers automata that has the lower response time and highest efficiency.
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spelling Fractional order differential calculus applied on decision making system to smart grid management via decision trees Cálculo diferencial de orden fraccional aplicado en el sistema de toma de decisiones a la gestión de redes inteligentes a través de árboles de decisión Cálculo diferencial de ordem fracionária aplicado em sistema de tomada de decisão para gerenciamento de rede inteligente via árvores de decisão Árbol de decisiónCálculo diferencial de orden fraccionarioRed inteligenteLeyes de Kirchhoff.Árvore de DecisãoCálculo Diferencial de Ordem FracionáriaRede InteligenteLeis Kirchhoff.Decision TreeFractional Order Differential CalculusSmart GridKirchhoff Laws.This article portrays the relationship between fractional order differential calculus and the computational intelligence method, applying it to the improvement of intelligent systems. The Kirchhoff Laws, represented by second order differential equations, were solved via non-integer order differential calculus. The results obtained were used in the implementation of decision trees, which allowed the decision rules to be incorporated into the controllers. The results obtained by mathematical modeling did magnify the information extracted from Kirchhoff's Laws. Due to the gain magnitude of this information, the decision trees were obtained with greater precision and accuracy. In this way, it was achieved to build a hybrid system capable of being used in the development of controllers automata that has the lower response time and highest efficiency.Este artículo describe la relación entre el cálculo diferencial de orden fraccionario y el método de inteligencia computacional, aplicándolo a la no mejora de los sistemas inteligentes. Las leyes de Kirchhoff, representadas por ecuaciones diferenciales de segundo orden, se resolvieron mediante cálculo diferencial de orden no entero. Los resultados obtenidos se utilizaron en la implementación de árboles de decisión, que a su vez apoyaron las reglas de decisión incorporadas en los impulsores. Los resultados obtenidos mediante modelos matemáticos magnificaron la información extraída de las Leyes de Kirchhoff. La magnitud de esta información obtenida, los árboles de decisión se obtuvieron con mayor precisión y exactitud. De esta manera, se logró un sistema híbrido capaz de ser utilizado en el desarrollo de controladores de autómatas que tiene el menor tiempo de respuesta y la mayor eficiencia.O presente artigo retrata a relação entre o cálculo diferencial de ordem fracionária e o método de inteligência computacional, aplicando-a no aprimoramento de sistemas inteligentes. As Leis Kirchhoff, representadas por equações diferenciais de segunda ordem, foram solucionadas via cálculo diferencial de ordem não-inteira. Os resultados obtidos foram utilizados na implementação de inúmeras árvores de decisão, que por sua vez subsidiaram regras de decisão incorporadas aos controladores. Os resultados obtidos pela modelagem matemática magnificaram as informações extraídas das Leis de Kirchhoff. Devido a magnitude dessas informações, obteve-se árvores de decisão com maior precisão e acurácia. Dessa forma, foi alcançado um sistema híbrido capaz de ser utilizado no desenvolvimento de controladores autômatos que apresentarão menor tempo de resposta e maior eficiência.Research, Society and Development2021-12-05info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://rsdjournal.org/index.php/rsd/article/view/2338710.33448/rsd-v10i16.23387Research, Society and Development; Vol. 10 No. 16; e38101623387Research, Society and Development; Vol. 10 Núm. 16; e38101623387Research, Society and Development; v. 10 n. 16; e381016233872525-3409reponame:Research, Society and Developmentinstname:Universidade Federal de Itajubá (UNIFEI)instacron:UNIFEIporhttps://rsdjournal.org/index.php/rsd/article/view/23387/20689Copyright (c) 2021 Heictor Alves de Oliveira Costa; Larissa Luz Gomes; Denis Carlos Lima Costa; Erick Melo Rocha; Carlos Renato Francês; Sergio Henrique Andradehttps://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessCosta, Heictor Alves de OliveiraGomes, Larissa LuzCosta, Denis Carlos LimaRocha, Erick Melo Francês, Carlos Renato Andrade, Sergio Henrique 2021-12-20T11:03:07Zoai:ojs.pkp.sfu.ca:article/23387Revistahttps://rsdjournal.org/index.php/rsd/indexPUBhttps://rsdjournal.org/index.php/rsd/oairsd.articles@gmail.com2525-34092525-3409opendoar:2024-01-17T09:42:16.614307Research, Society and Development - Universidade Federal de Itajubá (UNIFEI)false
dc.title.none.fl_str_mv Fractional order differential calculus applied on decision making system to smart grid management via decision trees
Cálculo diferencial de orden fraccional aplicado en el sistema de toma de decisiones a la gestión de redes inteligentes a través de árboles de decisión
Cálculo diferencial de ordem fracionária aplicado em sistema de tomada de decisão para gerenciamento de rede inteligente via árvores de decisão
title Fractional order differential calculus applied on decision making system to smart grid management via decision trees
spellingShingle Fractional order differential calculus applied on decision making system to smart grid management via decision trees
Costa, Heictor Alves de Oliveira
Árbol de decisión
Cálculo diferencial de orden fraccionario
Red inteligente
Leyes de Kirchhoff.
Árvore de Decisão
Cálculo Diferencial de Ordem Fracionária
Rede Inteligente
Leis Kirchhoff.
Decision Tree
Fractional Order Differential Calculus
Smart Grid
Kirchhoff Laws.
title_short Fractional order differential calculus applied on decision making system to smart grid management via decision trees
title_full Fractional order differential calculus applied on decision making system to smart grid management via decision trees
title_fullStr Fractional order differential calculus applied on decision making system to smart grid management via decision trees
title_full_unstemmed Fractional order differential calculus applied on decision making system to smart grid management via decision trees
title_sort Fractional order differential calculus applied on decision making system to smart grid management via decision trees
author Costa, Heictor Alves de Oliveira
author_facet Costa, Heictor Alves de Oliveira
Gomes, Larissa Luz
Costa, Denis Carlos Lima
Rocha, Erick Melo
Francês, Carlos Renato
Andrade, Sergio Henrique
author_role author
author2 Gomes, Larissa Luz
Costa, Denis Carlos Lima
Rocha, Erick Melo
Francês, Carlos Renato
Andrade, Sergio Henrique
author2_role author
author
author
author
author
dc.contributor.author.fl_str_mv Costa, Heictor Alves de Oliveira
Gomes, Larissa Luz
Costa, Denis Carlos Lima
Rocha, Erick Melo
Francês, Carlos Renato
Andrade, Sergio Henrique
dc.subject.por.fl_str_mv Árbol de decisión
Cálculo diferencial de orden fraccionario
Red inteligente
Leyes de Kirchhoff.
Árvore de Decisão
Cálculo Diferencial de Ordem Fracionária
Rede Inteligente
Leis Kirchhoff.
Decision Tree
Fractional Order Differential Calculus
Smart Grid
Kirchhoff Laws.
topic Árbol de decisión
Cálculo diferencial de orden fraccionario
Red inteligente
Leyes de Kirchhoff.
Árvore de Decisão
Cálculo Diferencial de Ordem Fracionária
Rede Inteligente
Leis Kirchhoff.
Decision Tree
Fractional Order Differential Calculus
Smart Grid
Kirchhoff Laws.
description This article portrays the relationship between fractional order differential calculus and the computational intelligence method, applying it to the improvement of intelligent systems. The Kirchhoff Laws, represented by second order differential equations, were solved via non-integer order differential calculus. The results obtained were used in the implementation of decision trees, which allowed the decision rules to be incorporated into the controllers. The results obtained by mathematical modeling did magnify the information extracted from Kirchhoff's Laws. Due to the gain magnitude of this information, the decision trees were obtained with greater precision and accuracy. In this way, it was achieved to build a hybrid system capable of being used in the development of controllers automata that has the lower response time and highest efficiency.
publishDate 2021
dc.date.none.fl_str_mv 2021-12-05
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://rsdjournal.org/index.php/rsd/article/view/23387
10.33448/rsd-v10i16.23387
url https://rsdjournal.org/index.php/rsd/article/view/23387
identifier_str_mv 10.33448/rsd-v10i16.23387
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv https://rsdjournal.org/index.php/rsd/article/view/23387/20689
dc.rights.driver.fl_str_mv https://creativecommons.org/licenses/by/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/4.0
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Research, Society and Development
publisher.none.fl_str_mv Research, Society and Development
dc.source.none.fl_str_mv Research, Society and Development; Vol. 10 No. 16; e38101623387
Research, Society and Development; Vol. 10 Núm. 16; e38101623387
Research, Society and Development; v. 10 n. 16; e38101623387
2525-3409
reponame:Research, Society and Development
instname:Universidade Federal de Itajubá (UNIFEI)
instacron:UNIFEI
instname_str Universidade Federal de Itajubá (UNIFEI)
instacron_str UNIFEI
institution UNIFEI
reponame_str Research, Society and Development
collection Research, Society and Development
repository.name.fl_str_mv Research, Society and Development - Universidade Federal de Itajubá (UNIFEI)
repository.mail.fl_str_mv rsd.articles@gmail.com
_version_ 1797052819504627712

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