Medidas difusas e integrales difusas

This is a study of fuzzy measures and fuzzy inte-grals; it presents some of the phenomena wherethey are used. It exposes how the concept of fuzzymeasure is introduced and from it, the notion offuzzy integral is presented. Properties of fuzzymeasures are established and they are classifiedaccording t...

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Autores:
Arenas-Díaz, Gilberto; Universidad Industrial de Santander
Ramírez Lamus, Edgar René; Escuela de Matemáticas, Universidad Industrial de Santander, Bucaramanga, Colombia.
Tipo de recurso:
Article of journal
Fecha de publicación:
2013
Institución:
Pontificia Universidad Javeriana
Repositorio:
Repositorio Universidad Javeriana
Idioma:
eng
OAI Identifier:
oai:repository.javeriana.edu.co:10554/31810
Acceso en línea:
http://revistas.javeriana.edu.co/index.php/scientarium/article/view/123
http://hdl.handle.net/10554/31810
Palabra clave:
null
fuzzy measure, λ-measure, Choquet integral, Sugeno integral, equiordering function
null
ANÁLISIS DIFUSO
fuzzy measure, λ-measure, Choquet integral, Sugeno integral, equiordering function
No aplica
Rights
openAccess
License
Atribución-NoComercial-SinDerivadas 4.0 Internacional
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oai_identifier_str oai:repository.javeriana.edu.co:10554/31810
network_acronym_str JAVERIANA2
network_name_str Repositorio Universidad Javeriana
repository_id_str
spelling Atribución-NoComercial-SinDerivadas 4.0 Internacionalinfo:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2nullUniversidad Industrial de SantanderArenas-Díaz, Gilberto; Universidad Industrial de SantanderRamírez Lamus, Edgar René; Escuela de Matemáticas, Universidad Industrial de Santander, Bucaramanga, Colombia.2018-02-24T16:00:46Z2020-04-15T18:08:34Z2018-02-24T16:00:46Z2020-04-15T18:08:34Z2013-02-20http://revistas.javeriana.edu.co/index.php/scientarium/article/view/12310.11144/javeriana.SC18-1.mdid2027-13520122-7483http://hdl.handle.net/10554/31810This is a study of fuzzy measures and fuzzy inte-grals; it presents some of the phenomena wherethey are used. It exposes how the concept of fuzzymeasure is introduced and from it, the notion offuzzy integral is presented. Properties of fuzzymeasures are established and they are classifiedaccording to additive property and λ-measures,while the probability, plausibility, credibility, pos-sibility and necessity measures are observed asclassic examples of the classification completed.The two main fuzzy integrals were analyzed: theSugeno integral and the Choquet integral, giventhe application of these integrals is made on finitesets, a comparison between them for the finitecase is performed using the concept of equiorde-red functions. We present two examples in whichfuzzy measures and fuzzy integrals are used inthe classification of individuals and in qualityassessment. It also describes some phenomenawhere they are applied. Classic measures are usedin certain special cases of uncertainty based onrandomness. The use in certain contexts of fuzzymeasures (non-additive) and fuzzy integrals offera more flexible and realistic focus in modelinguncertaintynullPDFtext/htmlapplication/pdfengPontificia Universidad Javerianahttp://revistas.javeriana.edu.co/index.php/scientarium/article/view/123/4242http://revistas.javeriana.edu.co/index.php/scientarium/article/view/123/4939http://revistas.javeriana.edu.co/index.php/scientarium/article/downloadSuppFile/123/948http://revistas.javeriana.edu.co/index.php/scientarium/article/downloadSuppFile/123/949http://revistas.javeriana.edu.co/index.php/scientarium/article/downloadSuppFile/123/950Universitas Scientiarum; Vol 18, No 1 (2013); 7-32Universitas Scientiarum; Vol 18, No 1 (2013); 7-32Universitas Scientiarum; Vol 18, No 1 (2013); 7-32nullfuzzy measure, λ-measure, Choquet integral, Sugeno integral, equiordering functionnullANÁLISIS DIFUSOfuzzy measure, λ-measure, Choquet integral, Sugeno integral, equiordering functionNo aplicaMedidas difusas e integrales difusasnullnullnullnullNo aplicaNo aplicaNo aplicahttp://purl.org/coar/version/c_970fb48d4fbd8a85Artículo de revistahttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1info:eu-repo/semantics/articleRevisión10554/31810oai:repository.javeriana.edu.co:10554/318102023-03-28 16:15:39.837Repositorio Institucional - Pontificia Universidad Javerianarepositorio@javeriana.edu.co
dc.title.spa.fl_str_mv Medidas difusas e integrales difusas
dc.title.english.eng.fl_str_mv null
title Medidas difusas e integrales difusas
spellingShingle Medidas difusas e integrales difusas
null
fuzzy measure, λ-measure, Choquet integral, Sugeno integral, equiordering function
null
ANÁLISIS DIFUSO
fuzzy measure, λ-measure, Choquet integral, Sugeno integral, equiordering function
No aplica
title_short Medidas difusas e integrales difusas
title_full Medidas difusas e integrales difusas
title_fullStr Medidas difusas e integrales difusas
title_full_unstemmed Medidas difusas e integrales difusas
title_sort Medidas difusas e integrales difusas
dc.creator.fl_str_mv Arenas-Díaz, Gilberto; Universidad Industrial de Santander
Ramírez Lamus, Edgar René; Escuela de Matemáticas, Universidad Industrial de Santander, Bucaramanga, Colombia.
dc.contributor.author.none.fl_str_mv Arenas-Díaz, Gilberto; Universidad Industrial de Santander
Ramírez Lamus, Edgar René; Escuela de Matemáticas, Universidad Industrial de Santander, Bucaramanga, Colombia.
dc.contributor.none.fl_str_mv null
dc.contributor.spa.fl_str_mv Universidad Industrial de Santander
dc.subject.eng.fl_str_mv null
fuzzy measure, λ-measure, Choquet integral, Sugeno integral, equiordering function
null
topic null
fuzzy measure, λ-measure, Choquet integral, Sugeno integral, equiordering function
null
ANÁLISIS DIFUSO
fuzzy measure, λ-measure, Choquet integral, Sugeno integral, equiordering function
No aplica
dc.subject.spa.fl_str_mv ANÁLISIS DIFUSO
fuzzy measure, λ-measure, Choquet integral, Sugeno integral, equiordering function
No aplica
description This is a study of fuzzy measures and fuzzy inte-grals; it presents some of the phenomena wherethey are used. It exposes how the concept of fuzzymeasure is introduced and from it, the notion offuzzy integral is presented. Properties of fuzzymeasures are established and they are classifiedaccording to additive property and λ-measures,while the probability, plausibility, credibility, pos-sibility and necessity measures are observed asclassic examples of the classification completed.The two main fuzzy integrals were analyzed: theSugeno integral and the Choquet integral, giventhe application of these integrals is made on finitesets, a comparison between them for the finitecase is performed using the concept of equiorde-red functions. We present two examples in whichfuzzy measures and fuzzy integrals are used inthe classification of individuals and in qualityassessment. It also describes some phenomenawhere they are applied. Classic measures are usedin certain special cases of uncertainty based onrandomness. The use in certain contexts of fuzzymeasures (non-additive) and fuzzy integrals offera more flexible and realistic focus in modelinguncertainty
publishDate 2013
dc.date.created.none.fl_str_mv 2013-02-20
dc.date.accessioned.none.fl_str_mv 2018-02-24T16:00:46Z
2020-04-15T18:08:34Z
dc.date.available.none.fl_str_mv 2018-02-24T16:00:46Z
2020-04-15T18:08:34Z
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_2df8fbb1
dc.type.hasversion.none.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.local.spa.fl_str_mv Artículo de revista
dc.type.coar.none.fl_str_mv http://purl.org/coar/resource_type/c_6501
dc.type.driver.none.fl_str_mv info:eu-repo/semantics/article
dc.type.other.none.fl_str_mv Revisión
format http://purl.org/coar/resource_type/c_6501
dc.identifier.none.fl_str_mv http://revistas.javeriana.edu.co/index.php/scientarium/article/view/123
10.11144/javeriana.SC18-1.mdid
dc.identifier.issn.none.fl_str_mv 2027-1352
0122-7483
dc.identifier.uri.none.fl_str_mv http://hdl.handle.net/10554/31810
url http://revistas.javeriana.edu.co/index.php/scientarium/article/view/123
http://hdl.handle.net/10554/31810
identifier_str_mv 10.11144/javeriana.SC18-1.mdid
2027-1352
0122-7483
dc.language.iso.none.fl_str_mv eng
language eng
dc.relation.uri.none.fl_str_mv http://revistas.javeriana.edu.co/index.php/scientarium/article/view/123/4242
http://revistas.javeriana.edu.co/index.php/scientarium/article/view/123/4939
http://revistas.javeriana.edu.co/index.php/scientarium/article/downloadSuppFile/123/948
http://revistas.javeriana.edu.co/index.php/scientarium/article/downloadSuppFile/123/949
http://revistas.javeriana.edu.co/index.php/scientarium/article/downloadSuppFile/123/950
dc.relation.citationissue.eng.fl_str_mv Universitas Scientiarum; Vol 18, No 1 (2013); 7-32
dc.relation.citationissue.spa.fl_str_mv Universitas Scientiarum; Vol 18, No 1 (2013); 7-32
dc.relation.citationissue.por.fl_str_mv Universitas Scientiarum; Vol 18, No 1 (2013); 7-32
dc.rights.licence.*.fl_str_mv Atribución-NoComercial-SinDerivadas 4.0 Internacional
dc.rights.accessrights.none.fl_str_mv info:eu-repo/semantics/openAccess
dc.rights.coar.spa.fl_str_mv http://purl.org/coar/access_right/c_abf2
rights_invalid_str_mv Atribución-NoComercial-SinDerivadas 4.0 Internacional
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.spa.fl_str_mv PDF
dc.format.mimetype.spa.fl_str_mv text/html
application/pdf
dc.coverage.none.fl_str_mv null
null
null
No aplica
No aplica
No aplica
dc.publisher.eng.fl_str_mv Pontificia Universidad Javeriana
institution Pontificia Universidad Javeriana
repository.name.fl_str_mv Repositorio Institucional - Pontificia Universidad Javeriana
repository.mail.fl_str_mv repositorio@javeriana.edu.co
_version_ 1808388953843171328

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