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d-Choquet integrals: Choquet integrals based on dissimilarities
| dc.creator | Bustince Sola, Humberto | es_ES |
| dc.creator | Mesiar, Radko | es_ES |
| dc.creator | Fernández Fernández, Francisco Javier | es_ES |
| dc.creator | Galar Idoate, Mikel | es_ES |
| dc.creator | Paternain Dallo, Daniel | es_ES |
| dc.creator | Altalhi, A. H. | es_ES |
| dc.creator | Pereira Dimuro, Graçaliz | es_ES |
| dc.creator | Bedregal, Benjamin | es_ES |
| dc.creator | Takáč, Zdenko | es_ES |
| dc.date.accessioned | 2020-07-02T06:50:31Z | |
| dc.date.available | 2022-04-03T23:00:13Z | |
| dc.date.issued | 2020 | |
| dc.identifier.issn | 0165-0114 | |
| dc.identifier.uri | https://hdl.handle.net/2454/37272 | |
| dc.description.abstract | The 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.sponsorship | This 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.extent | 27 p. | |
| dc.format.mimetype | application/pdf | en |
| dc.language.iso | eng | en |
| dc.publisher | Elsevier | en |
| dc.relation.ispartof | Fuzzy Sets and Systems, 2020 | en |
| dc.rights | © 2020 Elsevier B.V. This manuscript version is made available under the CC-BY-NC-ND 4.0. | en |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | |
| dc.subject | Choquet integral | en |
| dc.subject | d-Choquet integral | en |
| dc.subject | Dissimilarity | en |
| dc.subject | Pre-aggregation function | en |
| dc.subject | Aggregation function | en |
| dc.subject | Monotonicity | en |
| dc.subject | Directional monotonicity | en |
| dc.title | d-Choquet integrals: Choquet integrals based on dissimilarities | en |
| dc.type | info:eu-repo/semantics/article | en |
| dc.type | Artículo / Artikulua | es |
| dc.contributor.department | Estadística, Informática y Matemáticas | es_ES |
| dc.contributor.department | Institute of Smart Cities - ISC | es_ES |
| dc.contributor.department | Estatistika, Informatika eta Matematika | eu |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | en |
| dc.rights.accessRights | Acceso abierto / Sarbide irekia | es |
| dc.embargo.terms | 2022-04-03 | |
| dc.identifier.doi | 10.1016/j.fss.2020.03.019 | |
| dc.relation.projectID | info:eu-repo/grantAgreement/ES/1PE/TIN2016-77356-P | en |
| dc.relation.publisherversion | https://doi.org/10.1016/j.fss.2020.03.019 | |
| dc.type.version | info:eu-repo/semantics/acceptedVersion | en |
| dc.type.version | Versión aceptada / Onetsi den bertsioa | es |
| dc.contributor.funder | Universidad Pública de Navarra / Nafarroako Unibertsitate Publikoa, PJUPNA13 | es |
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