Pre-aggregation functions: construction and an application

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dc.contributor.authorLucca, Giancarlo
dc.contributor.authorSanz Delgado, José Antonio
dc.contributor.authorPereira Dimuro, Graçaliz
dc.contributor.authorBedregal, Benjamin
dc.contributor.authorMesiar, Radko
dc.contributor.authorKolesárová, Anna
dc.contributor.authorBustince Sola, Humberto
dc.contributor.departmentAutomática y Computaciónes_ES
dc.contributor.departmentAutomatika eta Konputazioaeu
dc.date.accessioned2015-07-27T10:15:49Z
dc.date.available2015-07-27T10:15:49Z
dc.date.issued2015
dc.description.abstractIn this work we introduce the notion of preaggregation function. Such a function satisfies the same boundary conditions as an aggregation function, but, instead of requiring monotonicity, only monotonicity along some fixed direction (directional monotonicity) is required. We present some examples of such functions. We propose three different methods to build pre-aggregation functions. We experimentally show that in fuzzy rule-based classification systems, when we use one of these methods, namely, the one based on the use of the Choquet integral replacing the product by other aggregation functions, if we consider the minimum or the Hamacher product t-norms for such construction, we improve the results obtained when applying the fuzzy reasoning methods obtained using two classical averaging operators like the maximum and the Choquet integral.en
dc.description.sponsorshipThis work was supported in part by the Spanish Ministry of Science and Technology under projects TIN2008-06681-C06-01, TIN2010- 15055, TIN2013-40765-P, TIN2011-29520.en
dc.format.mimetypeapplication/pdfen
dc.identifier.citationG. Lucca et al., "Preaggregation Functions: Construction and an Application," in IEEE Transactions on Fuzzy Systems, vol. 24, no. 2, pp. 260-272, April 2016. doi: 10.1109/TFUZZ.2015.2453020en
dc.identifier.doi10.1109/TFUZZ.2015.2453020
dc.identifier.issn1063-6706
dc.identifier.urihttps://academica-e.unavarra.es/handle/2454/17691
dc.language.isoengen
dc.publisherIEEEen
dc.relation.ispartofIEEE Transactions on Fuzzy Systemsen
dc.relation.projectIDinfo:eu-repo/grantAgreement/MICINN//TIN2008-06681-C06-01/ES/
dc.relation.projectIDinfo:eu-repo/grantAgreement/MICINN//TIN2010-15055/ES/
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO//TIN2013-40765-P/ES/
dc.relation.projectIDinfo:eu-repo/grantAgreement/MICINN//TIN2011-29520/ES/
dc.relation.publisherversionhttps://dx.doi.org/10.1109/TFUZZ.2015.2453020
dc.rights© 2015 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works.en
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.subjectAggregation functionsen
dc.subjectDirectional monotonicityen
dc.subjectFuzzy measuresen
dc.subjectChoquet integralen
dc.subjectFuzzy rule-based classification systemsen
dc.subjectFuzzy reasoning methoden
dc.titlePre-aggregation functions: construction and an applicationen
dc.typeinfo:eu-repo/semantics/article
dc.type.versioninfo:eu-repo/semantics/acceptedVersion
dspace.entity.typePublication
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relation.isAuthorOfPublication04db2b7d-89dc-4815-be4a-4b201cdce99b
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relation.isAuthorOfPublication.latestForDiscovery04db2b7d-89dc-4815-be4a-4b201cdce99b

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