Adaptation of Iterative Methods to Solve Fuzzy Mathematical Programming Problems

Detalhes bibliográficos
Autor(a) principal: Silva, Ricardo C.
Data de Publicação: 2006
Outros Autores: Cantao, Luiza A. P. [UNESP], Yamakami, Akebo, Ardil, C.
Tipo de documento: Artigo de conferência
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://hdl.handle.net/11449/194695
Resumo: Based on the fuzzy set theory this work develops two adaptations of iterative methods that solve mathematical programming problems with uncertainties in the objective function and in the set of constraints. The first one uses the approach proposed by Zimmermann to fuzzy linear programming problems as a basis and the second one obtains cut levels and later maximizes the membership function of fuzzy decision making using the bound search method. We outline similarities between the two iterative methods studied. Selected examples from the literature are presented to validate the efficiency of the methods addressed.
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spelling Adaptation of Iterative Methods to Solve Fuzzy Mathematical Programming ProblemsFuzzy TheoryNonlinear OptimizationFuzzy Mathematics ProgrammingBased on the fuzzy set theory this work develops two adaptations of iterative methods that solve mathematical programming problems with uncertainties in the objective function and in the set of constraints. The first one uses the approach proposed by Zimmermann to fuzzy linear programming problems as a basis and the second one obtains cut levels and later maximizes the membership function of fuzzy decision making using the bound search method. We outline similarities between the two iterative methods studied. Selected examples from the literature are presented to validate the efficiency of the methods addressed.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Univ Estadual Campinas, Sch Elect & Comp Engn, Dept Telemat, POB 6101, BR-13081970 Campinas, SP, BrazilUniv Estadual Paulista, Dept Ambient Engn, BR-13087180 Sorocaba, SP, BrazilUniv Estadual Paulista, Dept Ambient Engn, BR-13087180 Sorocaba, SP, BrazilWorld Acad Sci, Eng & Tech-wasetUniversidade Estadual de Campinas (UNICAMP)Universidade Estadual Paulista (Unesp)Silva, Ricardo C.Cantao, Luiza A. P. [UNESP]Yamakami, AkeboArdil, C.2020-12-10T16:34:46Z2020-12-10T16:34:46Z2006-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject330-+Proceedings Of World Academy Of Science, Engineering And Technology, Vol 14. Canakkale: World Acad Sci, Eng & Tech-waset, v. 14, p. 330-+, 2006.1307-6884http://hdl.handle.net/11449/194695WOS:000259632400064Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengProceedings Of World Academy Of Science, Engineering And Technology, Vol 14info:eu-repo/semantics/openAccess2025-04-03T19:39:16Zoai:repositorio.unesp.br:11449/194695Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestrepositoriounesp@unesp.bropendoar:29462025-04-03T19:39:16Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Adaptation of Iterative Methods to Solve Fuzzy Mathematical Programming Problems
title Adaptation of Iterative Methods to Solve Fuzzy Mathematical Programming Problems
spellingShingle Adaptation of Iterative Methods to Solve Fuzzy Mathematical Programming Problems
Silva, Ricardo C.
Fuzzy Theory
Nonlinear Optimization
Fuzzy Mathematics Programming
title_short Adaptation of Iterative Methods to Solve Fuzzy Mathematical Programming Problems
title_full Adaptation of Iterative Methods to Solve Fuzzy Mathematical Programming Problems
title_fullStr Adaptation of Iterative Methods to Solve Fuzzy Mathematical Programming Problems
title_full_unstemmed Adaptation of Iterative Methods to Solve Fuzzy Mathematical Programming Problems
title_sort Adaptation of Iterative Methods to Solve Fuzzy Mathematical Programming Problems
author Silva, Ricardo C.
author_facet Silva, Ricardo C.
Cantao, Luiza A. P. [UNESP]
Yamakami, Akebo
Ardil, C.
author_role author
author2 Cantao, Luiza A. P. [UNESP]
Yamakami, Akebo
Ardil, C.
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade Estadual de Campinas (UNICAMP)
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Silva, Ricardo C.
Cantao, Luiza A. P. [UNESP]
Yamakami, Akebo
Ardil, C.
dc.subject.por.fl_str_mv Fuzzy Theory
Nonlinear Optimization
Fuzzy Mathematics Programming
topic Fuzzy Theory
Nonlinear Optimization
Fuzzy Mathematics Programming
description Based on the fuzzy set theory this work develops two adaptations of iterative methods that solve mathematical programming problems with uncertainties in the objective function and in the set of constraints. The first one uses the approach proposed by Zimmermann to fuzzy linear programming problems as a basis and the second one obtains cut levels and later maximizes the membership function of fuzzy decision making using the bound search method. We outline similarities between the two iterative methods studied. Selected examples from the literature are presented to validate the efficiency of the methods addressed.
publishDate 2006
dc.date.none.fl_str_mv 2006-01-01
2020-12-10T16:34:46Z
2020-12-10T16:34:46Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/conferenceObject
format conferenceObject
status_str publishedVersion
dc.identifier.uri.fl_str_mv Proceedings Of World Academy Of Science, Engineering And Technology, Vol 14. Canakkale: World Acad Sci, Eng & Tech-waset, v. 14, p. 330-+, 2006.
1307-6884
http://hdl.handle.net/11449/194695
WOS:000259632400064
identifier_str_mv Proceedings Of World Academy Of Science, Engineering And Technology, Vol 14. Canakkale: World Acad Sci, Eng & Tech-waset, v. 14, p. 330-+, 2006.
1307-6884
WOS:000259632400064
url http://hdl.handle.net/11449/194695
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Proceedings Of World Academy Of Science, Engineering And Technology, Vol 14
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 330-+
dc.publisher.none.fl_str_mv World Acad Sci, Eng & Tech-waset
publisher.none.fl_str_mv World Acad Sci, Eng & Tech-waset
dc.source.none.fl_str_mv Web of Science
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)
repository.mail.fl_str_mv repositoriounesp@unesp.br
_version_ 1834482404020977664

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