Strengthened ordered directionally monotone functions. Links between the different notions of monotonicity

In this work, we propose a new notion of monotonicity: strengthened ordered directional monotonicity. This generalization of monotonicity is based on directional monotonicity and ordered directional monotonicity, two recent weaker forms of monotonicity. We discuss the relation between those differen...

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Detalles Bibliográficos
Autores: Sesma Sara, Mikel, Lafuente López, Julio, Roldán López de Hierro, Antonio Francisco, Mesiar, Radko, Bustince Sola, Humberto
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2019
País:España
Institución:Universidad San Jorge (USJ)
Repositorio:Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
OAI Identifier:oai:academica-e.unavarra.es:2454/36073
Acceso en línea:https://hdl.handle.net/2454/36073
Access Level:acceso abierto
Palabra clave:Strengthened ordered directional monotonicity
Directional monotonicity
Generalizations of monotonicity
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spelling Strengthened ordered directionally monotone functions. Links between the different notions of monotonicitySesma Sara, MikelLafuente López, JulioRoldán López de Hierro, Antonio FranciscoMesiar, RadkoBustince Sola, HumbertoStrengthened ordered directional monotonicityDirectional monotonicityGeneralizations of monotonicityIn this work, we propose a new notion of monotonicity: strengthened ordered directional monotonicity. This generalization of monotonicity is based on directional monotonicity and ordered directional monotonicity, two recent weaker forms of monotonicity. We discuss the relation between those different notions of monotonicity from a theoretical point of view. Additionally, along with the introduction of two families of functions and a study of their connection to the considered monotonicity notions, we define an operation between functions that generalizes the Choquet integral and the Lukasiewicz implication.This work is partially supported by the grants APVV-14-0013 and TIN2016-77356-P (AEI/FEDER, UE).ElsevierEstatistika, Informatika eta MatematikaInstitute of Smart Cities - ISCEstadística, Informática y Matemáticas2019info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfhttps://hdl.handle.net/2454/36073reponame:Academica-e. Repositorio Institucional de la Universidad Pública de Navarrainstname:Universidad San Jorge (USJ)Inglésinfo:eu-repo/grantAgreement/ES/1PE/TIN2016-77356-P© 2018 Elsevier B.V. This manuscript version is made available under the CC-BY-NC-ND 4.0.https://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:academica-e.unavarra.es:2454/360732026-06-17T12:41:47Z
dc.title.none.fl_str_mv Strengthened ordered directionally monotone functions. Links between the different notions of monotonicity
title Strengthened ordered directionally monotone functions. Links between the different notions of monotonicity
spellingShingle Strengthened ordered directionally monotone functions. Links between the different notions of monotonicity
Sesma Sara, Mikel
Strengthened ordered directional monotonicity
Directional monotonicity
Generalizations of monotonicity
title_short Strengthened ordered directionally monotone functions. Links between the different notions of monotonicity
title_full Strengthened ordered directionally monotone functions. Links between the different notions of monotonicity
title_fullStr Strengthened ordered directionally monotone functions. Links between the different notions of monotonicity
title_full_unstemmed Strengthened ordered directionally monotone functions. Links between the different notions of monotonicity
title_sort Strengthened ordered directionally monotone functions. Links between the different notions of monotonicity
dc.creator.none.fl_str_mv Sesma Sara, Mikel
Lafuente López, Julio
Roldán López de Hierro, Antonio Francisco
Mesiar, Radko
Bustince Sola, Humberto
author Sesma Sara, Mikel
author_facet Sesma Sara, Mikel
Lafuente López, Julio
Roldán López de Hierro, Antonio Francisco
Mesiar, Radko
Bustince Sola, Humberto
author_role author
author2 Lafuente López, Julio
Roldán López de Hierro, Antonio Francisco
Mesiar, Radko
Bustince Sola, Humberto
author2_role author
author
author
author
dc.contributor.none.fl_str_mv Estatistika, Informatika eta Matematika
Institute of Smart Cities - ISC
Estadística, Informática y Matemáticas
dc.subject.none.fl_str_mv Strengthened ordered directional monotonicity
Directional monotonicity
Generalizations of monotonicity
topic Strengthened ordered directional monotonicity
Directional monotonicity
Generalizations of monotonicity
description In this work, we propose a new notion of monotonicity: strengthened ordered directional monotonicity. This generalization of monotonicity is based on directional monotonicity and ordered directional monotonicity, two recent weaker forms of monotonicity. We discuss the relation between those different notions of monotonicity from a theoretical point of view. Additionally, along with the introduction of two families of functions and a study of their connection to the considered monotonicity notions, we define an operation between functions that generalizes the Choquet integral and the Lukasiewicz implication.
publishDate 2019
dc.date.none.fl_str_mv 2019
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/2454/36073
url https://hdl.handle.net/2454/36073
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 © 2018 Elsevier B.V. This manuscript version is made available under the CC-BY-NC-ND 4.0.
https://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv © 2018 Elsevier B.V. This manuscript version is made available under the CC-BY-NC-ND 4.0.
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 San Jorge (USJ)
instname_str Universidad San Jorge (USJ)
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 15,812455

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