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dc.creatorBustince Sola, Humbertoes_ES
dc.creatorMesiar, Radkoes_ES
dc.creatorFernández Fernández, Francisco Javieres_ES
dc.creatorGalar Idoate, Mikeles_ES
dc.creatorPaternain Dallo, Danieles_ES
dc.creatorAltalhi, A. H.es_ES
dc.creatorPereira Dimuro, Graçalizes_ES
dc.creatorBedregal, Benjamines_ES
dc.creatorTakáč, Zdenkoes_ES
dc.description.abstractThe paper introduces a new class of functions from [0,1]n to [0,n] called d-Choquet integrals. These functions are a generalization of the 'standard' Choquet integral obtained by replacing the difference in the definition of the usual Choquet integral by a dissimilarity function. In particular, the class of all d-Choquet integrals encompasses the class of all 'standard' Choquet integrals but the use of dissimilarities provides higher flexibility and generality. We show that some d-Choquet integrals are aggregation/pre-aggregation/averaging/functions and some of them are not. The conditions under which this happens are stated and other properties of the d-Choquet integrals are studied.en
dc.description.sponsorshipThis work was supported in part by the Spanish Ministry of Science and Technology under project TIN2016-77356-P (AEI/FEDER, UE), by the Public University of Navarra under project PJUPNA13 and by grant VEGA 1/0614/18 . Z. Takáč was supported by the project VEGA 1/0545/20. R. Mesiar was supported by the project of Grant Agency of the Czech Republic (GACR) no. 18-06915S and by the Slovak grant APVV-17-0066 . G.P. Dimuro was supported by Brazilian agency CNPq under the grant 301618/2019-4 and FAPERGS (Proc. 19/2551-0001660 ). B. Bedregal was supported by Brazilian agency CNPq under the grant 307781/2016-0 and Caixa y Fundación Caja Navarra.en
dc.format.extent27 p.
dc.relation.ispartofFuzzy Sets and Systems, 2020en
dc.rights© 2020 Elsevier B.V. This manuscript version is made available under the CC-BY-NC-ND 4.0.en
dc.subjectChoquet integralen
dc.subjectd-Choquet integralen
dc.subjectPre-aggregation functionen
dc.subjectAggregation functionen
dc.subjectDirectional monotonicityen
dc.titled-Choquet integrals: Choquet integrals based on dissimilaritiesen
dc.typeArtículo / Artikuluaes
dc.contributor.departmentEstadística, Informática y Matemáticases_ES
dc.contributor.departmentInstitute of Smart Cities - ISCes_ES
dc.contributor.departmentEstatistika, Informatika eta Matematikaeu
dc.rights.accessRightsAcceso abierto / Sarbide irekiaes
dc.type.versionVersión aceptada / Onetsi den bertsioaes
dc.contributor.funderUniversidad Pública de Navarra / Nafarroako Unibertsitate Publikoa, PJUPNA13es

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© 2020 Elsevier B.V. This manuscript version is made available under the CC-BY-NC-ND 4.0.
Except where otherwise noted, this item's license is described as © 2020 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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