Fuzzy interval optimal control problem
| Autor(a) principal: | |
|---|---|
| Data de Publicação: | 2019 |
| Outros Autores: | , , , , |
| Tipo de documento: | Artigo |
| Idioma: | eng |
| Título da fonte: | Repositório Institucional da UNESP |
| Texto Completo: | http://dx.doi.org/10.1016/j.fss.2019.05.003 http://hdl.handle.net/11449/190325 |
Resumo: | This paper proposes the discrete-time fuzzy interval optimal control problem via single-level constrained fuzzy arithmetic. Fuzzy interval functions are established and allow us to evaluate the dynamics of the fuzzy interval difference equation. Moreover, fuzzy interval dynamic programming is developed to obtain the optimal fuzzy interval solution helping us to make a realistic decision. A numerical example illustrates the theory and provides the practical solution for an user. |
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Fuzzy interval optimal control problemFuzzy interval difference equationFuzzy interval dynamic programmingFuzzy interval optimal control problemSingle-level constrained fuzzy arithmeticThis paper proposes the discrete-time fuzzy interval optimal control problem via single-level constrained fuzzy arithmetic. Fuzzy interval functions are established and allow us to evaluate the dynamics of the fuzzy interval difference equation. Moreover, fuzzy interval dynamic programming is developed to obtain the optimal fuzzy interval solution helping us to make a realistic decision. A numerical example illustrates the theory and provides the practical solution for an user.Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Area of Sciences Federal Institute of Education Science and Technology of São Paulo, VotuporangaSchool of Engineering São Paulo State University (UNESP), Ilha SolteiraInstitute of Biosciences Humanities and Exact Sciences São Paulo State University (UNESP)Department of Mathematical and Statistical Sciences University of ColoradoSchool of Engineering São Paulo State University (UNESP), Ilha SolteiraInstitute of Biosciences Humanities and Exact Sciences São Paulo State University (UNESP)CNPq: 301227/2017-9CNPq: 309872/2018-9CNPq: 400754/2014-2Science and Technology of São PauloUniversidade Estadual Paulista (Unesp)University of ColoradoCampos, José Renato [UNESP]Assunção, Edvaldo [UNESP]Silva, Geraldo Nunes [UNESP]Lodwick, Weldon AlexanderTeixeira, Marcelo Carvalho Minhoto [UNESP]Maqui-Huamán, Gino Gustavo [UNESP]2019-10-06T17:09:28Z2019-10-06T17:09:28Z2019-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1016/j.fss.2019.05.003Fuzzy Sets and Systems.0165-0114http://hdl.handle.net/11449/19032510.1016/j.fss.2019.05.0032-s2.0-850655424778879964582778840Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengFuzzy Sets and Systems190753info:eu-repo/semantics/openAccess2021-10-22T21:54:09Zoai:repositorio.unesp.br:11449/190325Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-22T21:54:09Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
| dc.title.none.fl_str_mv |
Fuzzy interval optimal control problem |
| title |
Fuzzy interval optimal control problem |
| spellingShingle |
Fuzzy interval optimal control problem Campos, José Renato [UNESP] Fuzzy interval difference equation Fuzzy interval dynamic programming Fuzzy interval optimal control problem Single-level constrained fuzzy arithmetic |
| title_short |
Fuzzy interval optimal control problem |
| title_full |
Fuzzy interval optimal control problem |
| title_fullStr |
Fuzzy interval optimal control problem |
| title_full_unstemmed |
Fuzzy interval optimal control problem |
| title_sort |
Fuzzy interval optimal control problem |
| author |
Campos, José Renato [UNESP] |
| author_facet |
Campos, José Renato [UNESP] Assunção, Edvaldo [UNESP] Silva, Geraldo Nunes [UNESP] Lodwick, Weldon Alexander Teixeira, Marcelo Carvalho Minhoto [UNESP] Maqui-Huamán, Gino Gustavo [UNESP] |
| author_role |
author |
| author2 |
Assunção, Edvaldo [UNESP] Silva, Geraldo Nunes [UNESP] Lodwick, Weldon Alexander Teixeira, Marcelo Carvalho Minhoto [UNESP] Maqui-Huamán, Gino Gustavo [UNESP] |
| author2_role |
author author author author author |
| dc.contributor.none.fl_str_mv |
Science and Technology of São Paulo Universidade Estadual Paulista (Unesp) University of Colorado |
| dc.contributor.author.fl_str_mv |
Campos, José Renato [UNESP] Assunção, Edvaldo [UNESP] Silva, Geraldo Nunes [UNESP] Lodwick, Weldon Alexander Teixeira, Marcelo Carvalho Minhoto [UNESP] Maqui-Huamán, Gino Gustavo [UNESP] |
| dc.subject.por.fl_str_mv |
Fuzzy interval difference equation Fuzzy interval dynamic programming Fuzzy interval optimal control problem Single-level constrained fuzzy arithmetic |
| topic |
Fuzzy interval difference equation Fuzzy interval dynamic programming Fuzzy interval optimal control problem Single-level constrained fuzzy arithmetic |
| description |
This paper proposes the discrete-time fuzzy interval optimal control problem via single-level constrained fuzzy arithmetic. Fuzzy interval functions are established and allow us to evaluate the dynamics of the fuzzy interval difference equation. Moreover, fuzzy interval dynamic programming is developed to obtain the optimal fuzzy interval solution helping us to make a realistic decision. A numerical example illustrates the theory and provides the practical solution for an user. |
| publishDate |
2019 |
| dc.date.none.fl_str_mv |
2019-10-06T17:09:28Z 2019-10-06T17:09:28Z 2019-01-01 |
| dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
| dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
| format |
article |
| status_str |
publishedVersion |
| dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1016/j.fss.2019.05.003 Fuzzy Sets and Systems. 0165-0114 http://hdl.handle.net/11449/190325 10.1016/j.fss.2019.05.003 2-s2.0-85065542477 8879964582778840 |
| url |
http://dx.doi.org/10.1016/j.fss.2019.05.003 http://hdl.handle.net/11449/190325 |
| identifier_str_mv |
Fuzzy Sets and Systems. 0165-0114 10.1016/j.fss.2019.05.003 2-s2.0-85065542477 8879964582778840 |
| dc.language.iso.fl_str_mv |
eng |
| language |
eng |
| dc.relation.none.fl_str_mv |
Fuzzy Sets and Systems 190753 |
| dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
| eu_rights_str_mv |
openAccess |
| dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
| instname_str |
Universidade Estadual Paulista (UNESP) |
| instacron_str |
UNESP |
| institution |
UNESP |
| reponame_str |
Repositório Institucional da UNESP |
| collection |
Repositório Institucional da UNESP |
| repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
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|
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1799964741933727744 |