The interval-valued Choquet integral based on admissible permutations

Aggregation or fusion of interval data is not a trivial task, since the necessity of arranging data arises in many aggregation functions, such as OWA operators or the Choquet integral. Some arranging procedures have been given to solve this problem, but they need certain parameters to be set. In ord...

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Autores: Paternain Dallo, Daniel, Miguel Turullols, Laura de, Ochoa Lezaun, Gustavo, Lizasoain Iriso, María Inmaculada, Mesiar, Radko, Bustince Sola, Humberto
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:2454/35275
Acceso en línea:https://hdl.handle.net/2454/35275
Access Level:acceso abierto
Palabra clave:Admissible order
Admissible permutation
Choquet integral
Information fusion
Interval-valued Choquet integral
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spelling The interval-valued Choquet integral based on admissible permutationsPaternain Dallo, DanielMiguel Turullols, Laura deOchoa Lezaun, GustavoLizasoain Iriso, María InmaculadaMesiar, RadkoBustince Sola, HumbertoAdmissible orderAdmissible permutationChoquet integralInformation fusionInterval-valued Choquet integralAggregation or fusion of interval data is not a trivial task, since the necessity of arranging data arises in many aggregation functions, such as OWA operators or the Choquet integral. Some arranging procedures have been given to solve this problem, but they need certain parameters to be set. In order to solve this problem, in this work we propose the concept of an admissible permutation of intervals. Based on this concept, which avoids any parameter selection, we propose a new approach for the interval-valued Choquet integral that takes into account every possible permutation fitting to the considered ordinal structure of data. Finally, a consensus among all the permutations is constructed.This work has been partially supported by MINECO, AEI/FEDER,UE under grant TIN2016-77356-P, by grant VEGA 1/0420/15, by grant LQ1602 IT4Innovations excellence in science and by the Research Services of the Universidad Publica de Navarra.IEEEEstatistika, Informatika eta MatematikaInstitute of Smart Cities - ISCInstitute for Advanced Materials and Mathematics - INAMAT2Estadística, Informática y MatemáticasUniversidad Pública de Navarra / Nafarroako Unibertsitate Publikoa2018info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfhttps://hdl.handle.net/2454/35275reponame:Academica-e. Repositorio Institucional de la Universidad Pública de Navarrainstname:Universidad Pública de NavarraInglésinfo:eu-repo/grantAgreement/ES/1PE/TIN2016-77356-P© 2019 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other work.info:eu-repo/semantics/openAccessoai:academica-e.unavarra.es:2454/352752026-06-17T12:41:47Z
dc.title.none.fl_str_mv The interval-valued Choquet integral based on admissible permutations
title The interval-valued Choquet integral based on admissible permutations
spellingShingle The interval-valued Choquet integral based on admissible permutations
Paternain Dallo, Daniel
Admissible order
Admissible permutation
Choquet integral
Information fusion
Interval-valued Choquet integral
title_short The interval-valued Choquet integral based on admissible permutations
title_full The interval-valued Choquet integral based on admissible permutations
title_fullStr The interval-valued Choquet integral based on admissible permutations
title_full_unstemmed The interval-valued Choquet integral based on admissible permutations
title_sort The interval-valued Choquet integral based on admissible permutations
dc.creator.none.fl_str_mv Paternain Dallo, Daniel
Miguel Turullols, Laura de
Ochoa Lezaun, Gustavo
Lizasoain Iriso, María Inmaculada
Mesiar, Radko
Bustince Sola, Humberto
author Paternain Dallo, Daniel
author_facet Paternain Dallo, Daniel
Miguel Turullols, Laura de
Ochoa Lezaun, Gustavo
Lizasoain Iriso, María Inmaculada
Mesiar, Radko
Bustince Sola, Humberto
author_role author
author2 Miguel Turullols, Laura de
Ochoa Lezaun, Gustavo
Lizasoain Iriso, María Inmaculada
Mesiar, Radko
Bustince Sola, Humberto
author2_role author
author
author
author
author
dc.contributor.none.fl_str_mv Estatistika, Informatika eta Matematika
Institute of Smart Cities - ISC
Institute for Advanced Materials and Mathematics - INAMAT2
Estadística, Informática y Matemáticas
Universidad Pública de Navarra / Nafarroako Unibertsitate Publikoa
dc.subject.none.fl_str_mv Admissible order
Admissible permutation
Choquet integral
Information fusion
Interval-valued Choquet integral
topic Admissible order
Admissible permutation
Choquet integral
Information fusion
Interval-valued Choquet integral
description Aggregation or fusion of interval data is not a trivial task, since the necessity of arranging data arises in many aggregation functions, such as OWA operators or the Choquet integral. Some arranging procedures have been given to solve this problem, but they need certain parameters to be set. In order to solve this problem, in this work we propose the concept of an admissible permutation of intervals. Based on this concept, which avoids any parameter selection, we propose a new approach for the interval-valued Choquet integral that takes into account every possible permutation fitting to the considered ordinal structure of data. Finally, a consensus among all the permutations is constructed.
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/2454/35275
url https://hdl.handle.net/2454/35275
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/grantAgreement/ES/1PE/TIN2016-77356-P
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv IEEE
publisher.none.fl_str_mv IEEE
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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score 15,811543

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