Fuzzy dissimilarities and the fuzzy choquet integral of triangular fuzzy numbers on [0,1]

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dc.contributor.authorRoldán López de Hierro, Antonio Francisco
dc.contributor.authorCruz, Anderson
dc.contributor.authorSantiago, Regivan
dc.contributor.authorRoldán, Concepción
dc.contributor.authorGarcía-Zamora, Diego
dc.contributor.authorNeres, Fernando
dc.contributor.authorBustince Sola, Humberto
dc.contributor.departmentEstadística, Informática y Matemáticases_ES
dc.contributor.departmentEstatistika, Informatika eta Matematikaeu
dc.contributor.departmentInstitute of Smart Cities - ISCen
dc.date.accessioned2025-02-27T08:31:40Z
dc.date.issued2025-04-01
dc.date.updated2025-02-27T08:26:20Z
dc.description.abstractHaving in mind the huge amount of data daily registered in the world, it is becoming increasingly important to summarize the information included in a data set. In Statistics and Computer Science, this task is successfully carried out by aggregation functions. One of the most widely applied methodologies of aggregating data is the Choquet integral. The main aim of this paper is to introduce an appropriate notion of Choquet integral in the context of fuzzy numbers. To do this, we face three challenges: the underlying uncertainty when handling fuzzy numbers, the way to order fuzzy numbers by appropriate binary relations and the way to compute the dissimilarity among fuzzy numbers. Illustrative examples are given by involving the α-order on the family of all triangular fuzzy numbers with support on [0,1].en
dc.description.sponsorshipThe authors acknowledge with thanks to their universities. A.F. Roldán López de Hierro and H. Bustince are grateful to Ministerio de Ciencia e Innovación by Projects PID2020-119478GB-I00 and PID2022-136627NB-I00, supported by MCIN/AEI/10.13039/501100011033/FEDER, UE. The rest author is also grateful to FEDER 2021-2027/Junta de Andalucía Consejería de Universidad, Investigación e Innovación, project C-EXP-153-UGR23.
dc.embargo.lift2027-04-01
dc.embargo.terms2027-04-01
dc.format.mimetypeapplication/pdfen
dc.identifier.citationRoldán López de Hierro, A. F., Cruz, A., Santiago, R. H. N., Roldán, C., García-Zamora, D., Neres, F., Bustince, H. (2025). Fuzzy dissimilarities and the fuzzy choquet integral of triangular fuzzy numbers on [0,1]. Fuzzy Sets and Systems, 505, 1-29. https://doi.org/10.1016/j.fss.2025.109277.
dc.identifier.doi10.1016/j.fss.2025.109277
dc.identifier.issn0165-0114
dc.identifier.urihttps://academica-e.unavarra.es/handle/2454/53590
dc.language.isoeng
dc.publisherElsevier
dc.relation.ispartofFuzzy Sets and Systems (2025), vol. 505, 109277
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-119478GB-I00/ES/
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/PID2022-136627NB-I00/ES/
dc.relation.publisherversionhttps://doi.org/10.1016/j.fss.2025.109277
dc.rights© 2025 Elsevier B.V. This manuscript version is made available under the CC-BY-NC-ND 4.0.
dc.rights.accessRightsinfo:eu-repo/semantics/embargoedAccess
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectAlpha-orderingen
dc.subjectBinary relationen
dc.subjectChoquet integralen
dc.subjectDissimilarityen
dc.subjectFuzzy numberen
dc.subjectRankingen
dc.titleFuzzy dissimilarities and the fuzzy choquet integral of triangular fuzzy numbers on [0,1]en
dc.typeinfo:eu-repo/semantics/article
dc.type.versioninfo:eu-repo/semantics/acceptedVersion
dspace.entity.typePublication
relation.isAuthorOfPublication1bdd7a0e-704f-48e5-8d27-4486444f82c9
relation.isAuthorOfPublication.latestForDiscovery1bdd7a0e-704f-48e5-8d27-4486444f82c9

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