Geometrical aggregation of finite fuzzy sets

A fuzzy set on a finite universe can be interpreted as a vector in a unit cube. This gives rise to a huge variety of approaches in order to aggregate finite fuzzy sets or to modify a given one. We analyze several geometrical methods and discuss possible applications in a multidisciplinary setting.

Detalles Bibliográficos
Autores: Campión Arrastia, María Jesús, García Catalán, Olga Raquel, Induráin Eraso, Esteban, Lizasoain Iriso, María Inmaculada, Raventós Pujol, Armajac, Valero, Óscar
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2018
País:España
Institución:Universidad Pública de Navarra
Repositorio:Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
OAI Identifier:oai:academica-e.unavarra.es:2454/33495
Acceso en línea:https://hdl.handle.net/2454/33495
Access Level:acceso abierto
Palabra clave:Fermat points
Finite fuzzy sets
Geometrical aggregation operators
Interdisciplinary applications
Ordered weighting averaging operators
Outliers
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spelling Geometrical aggregation of finite fuzzy setsCampión Arrastia, María JesúsGarcía Catalán, Olga RaquelInduráin Eraso, EstebanLizasoain Iriso, María InmaculadaRaventós Pujol, ArmajacValero, ÓscarFermat pointsFinite fuzzy setsGeometrical aggregation operatorsInterdisciplinary applicationsOrdered weighting averaging operatorsOutliersA fuzzy set on a finite universe can be interpreted as a vector in a unit cube. This gives rise to a huge variety of approaches in order to aggregate finite fuzzy sets or to modify a given one. We analyze several geometrical methods and discuss possible applications in a multidisciplinary setting.This work has been partially supported by the research projects TIN2013-47605-P, ECO2015-65031-R, MTM2015-63608-P (MINECO/AEI-FEDER, UE), TIN2016-77356-P (MINECO/AEI-FEDER, UE) and TIN2016-81731-REDT (LO-DISCO II and MINECO/AEI-FEDER, UE).ElsevierEstatistika, Informatika eta MatematikaInstitute for Advanced Materials and Mathematics - INAMAT2Institute for Advanced Research in Business and Economics - INARBEEstadística, Informática y Matemáticas2018info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfhttps://hdl.handle.net/2454/33495reponame:Academica-e. Repositorio Institucional de la Universidad Pública de Navarrainstname:Universidad Pública de NavarraInglésinfo:eu-repo/grantAgreement/ES/1PE/TIN2013-47605-Pinfo:eu-repo/grantAgreement/MINECO//ECO2015-65031-Rinfo:eu-repo/grantAgreement/MINECO//MTM2015-63608-Pinfo:eu-repo/grantAgreement/ES/1PE/TIN2016-77356-Pinfo:eu-repo/grantAgreement/ES/1PE/TIN2016-81731© 2018 Elsevier Inc. This manuscript version is made available under the CC-BY-NC-ND 4.0 licensehttps://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:academica-e.unavarra.es:2454/334952026-06-17T12:41:47Z
dc.title.none.fl_str_mv Geometrical aggregation of finite fuzzy sets
title Geometrical aggregation of finite fuzzy sets
spellingShingle Geometrical aggregation of finite fuzzy sets
Campión Arrastia, María Jesús
Fermat points
Finite fuzzy sets
Geometrical aggregation operators
Interdisciplinary applications
Ordered weighting averaging operators
Outliers
title_short Geometrical aggregation of finite fuzzy sets
title_full Geometrical aggregation of finite fuzzy sets
title_fullStr Geometrical aggregation of finite fuzzy sets
title_full_unstemmed Geometrical aggregation of finite fuzzy sets
title_sort Geometrical aggregation of finite fuzzy sets
dc.creator.none.fl_str_mv Campión Arrastia, María Jesús
García Catalán, Olga Raquel
Induráin Eraso, Esteban
Lizasoain Iriso, María Inmaculada
Raventós Pujol, Armajac
Valero, Óscar
author Campión Arrastia, María Jesús
author_facet Campión Arrastia, María Jesús
García Catalán, Olga Raquel
Induráin Eraso, Esteban
Lizasoain Iriso, María Inmaculada
Raventós Pujol, Armajac
Valero, Óscar
author_role author
author2 García Catalán, Olga Raquel
Induráin Eraso, Esteban
Lizasoain Iriso, María Inmaculada
Raventós Pujol, Armajac
Valero, Óscar
author2_role author
author
author
author
author
dc.contributor.none.fl_str_mv Estatistika, Informatika eta Matematika
Institute for Advanced Materials and Mathematics - INAMAT2
Institute for Advanced Research in Business and Economics - INARBE
Estadística, Informática y Matemáticas
dc.subject.none.fl_str_mv Fermat points
Finite fuzzy sets
Geometrical aggregation operators
Interdisciplinary applications
Ordered weighting averaging operators
Outliers
topic Fermat points
Finite fuzzy sets
Geometrical aggregation operators
Interdisciplinary applications
Ordered weighting averaging operators
Outliers
description A fuzzy set on a finite universe can be interpreted as a vector in a unit cube. This gives rise to a huge variety of approaches in order to aggregate finite fuzzy sets or to modify a given one. We analyze several geometrical methods and discuss possible applications in a multidisciplinary setting.
publishDate 2018
dc.date.none.fl_str_mv 2018
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2454/33495
url https://hdl.handle.net/2454/33495
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/grantAgreement/ES/1PE/TIN2013-47605-P
info:eu-repo/grantAgreement/MINECO//ECO2015-65031-R
info:eu-repo/grantAgreement/MINECO//MTM2015-63608-P
info:eu-repo/grantAgreement/ES/1PE/TIN2016-77356-P
info:eu-repo/grantAgreement/ES/1PE/TIN2016-81731
dc.rights.none.fl_str_mv © 2018 Elsevier Inc. This manuscript version is made available under the CC-BY-NC-ND 4.0 license
https://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv © 2018 Elsevier Inc. This manuscript version is made available under the CC-BY-NC-ND 4.0 license
https://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
instname:Universidad Pública de Navarra
instname_str Universidad Pública de Navarra
reponame_str Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
collection Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
repository.name.fl_str_mv
repository.mail.fl_str_mv
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