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

dc.creatorSesma Sara, Mikeles_ES
dc.creatorLafuente López, Julioes_ES
dc.creatorRoldán López de Hierro, Antonio Franciscoes_ES
dc.creatorMesiar, Radkoes_ES
dc.creatorBustince Sola, Humbertoes_ES
dc.date.accessioned2020-01-15T11:54:52Z
dc.date.available2021-02-15T00:00:11Z
dc.date.issued2019
dc.identifier.issn0165-0114
dc.identifier.urihttps://hdl.handle.net/2454/36073
dc.description.abstractIn 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.en
dc.description.sponsorshipThis work is partially supported by the grants APVV-14-0013 and TIN2016-77356-P (AEI/FEDER, UE).en
dc.format.extent34 p.
dc.format.mimetypeapplication/pdfen
dc.language.isoengen
dc.publisherElsevieren
dc.relation.ispartofFuzzy Sets and Systems, 357 (2019) 151-172en
dc.rights© 2018 Elsevier B.V. This manuscript version is made available under the CC-BY-NC-ND 4.0.en
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectStrengthened ordered directional monotonicityen
dc.subjectDirectional monotonicityen
dc.subjectGeneralizations of monotonicityen
dc.titleStrengthened ordered directionally monotone functions. Links between the different notions of monotonicityen
dc.typeinfo:eu-repo/semantics/articleen
dc.typeArtículo / Artikuluaes
dc.contributor.departmentEstadística, Informática y Matemáticases_ES
dc.contributor.departmentEstatistika, Informatika eta Matematikaeu
dc.contributor.departmentInstitute of Smart Cities - ISCes_ES
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen
dc.rights.accessRightsAcceso abierto / Sarbide irekiaes
dc.embargo.terms2021-02-15
dc.identifier.doi10.1016/j.fss.2018.07.007
dc.relation.projectIDinfo:eu-repo/grantAgreement/ES/1PE/TIN2016-77356-Pen
dc.relation.publisherversionhttps://doi.org/10.1016/j.fss.2018.07.007
dc.type.versioninfo:eu-repo/semantics/acceptedVersionen
dc.type.versionVersión aceptada / Onetsi den bertsioaes


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© 2018 Elsevier B.V. This manuscript version is made available under the CC-BY-NC-ND 4.0.
La licencia del ítem se describe como © 2018 Elsevier B.V. This manuscript version is made available under the CC-BY-NC-ND 4.0.
El Repositorio ha recibido la ayuda de la Fundación Española para la Ciencia y la Tecnología para la realización de actividades en el ámbito del fomento de la investigación científica de excelencia, en la Línea 2. Repositorios institucionales (convocatoria 2020-2021).
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