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dc.contributor.authorBerenguer Maldonado, María Isabel 
dc.contributor.authorGámez Domingo, Domingo 
dc.contributor.authorGarralda Guillén, Ana Isabel 
dc.contributor.authorRuiz Galán, Manuel 
dc.date.accessioned2023-12-20T10:05:40Z
dc.date.available2023-12-20T10:05:40Z
dc.date.issued2023-09-22
dc.identifier.citationM.I. Berenguer , D. Gámez, A.I. Garralda-Guillem, M. Ruiz Galán. A generalized and unified approach to the approximation of fuzzy numbers and its arithmetic and characteristics. Fuzzy Sets and Systems 473 (2023) 108727es_ES
dc.identifier.urihttps://hdl.handle.net/10481/86364
dc.description.abstractIn this paper we propose a general method for the approximation of an arbitrary fuzzy number. This method, which is constructive, recovers and properly extends some well-known approximations such as those obtained in terms of polygonal fuzzy numbers or simple fuzzy numbers. We prove the convergence of the general method and study the properties of the approximation operator, such as its compatibility with arithmetic operations of fuzzy numbers and with some of their important characteristics. In addition to this, we illustrate the method with some particularly interesting cases by providing algorithms, of great simplicity for practical use and apply them to some numerical examples. Furthermore, the approximations we construct are particularly simple from the point of view of fuzzy arithmetic and preserve some of their most important characteristics.es_ES
dc.description.sponsorshipJunta de Andalucía Project FQM359es_ES
dc.description.sponsorship“Maria de Maeztu” Excellence Unit IMAG, reference CEX2020-001105-M, funded by MCIN/AEI/10.13039/501100011033es_ES
dc.language.isoenges_ES
dc.publisherElsevier B.V.es_ES
dc.rightsCreative Commons Attribution-NonCommercial-NoDerivs 3.0 Licensees_ES
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es_ES
dc.subjectFuzzy numberes_ES
dc.subjectSchauder baseses_ES
dc.subjectApproximation of functionses_ES
dc.titleA generalized and unified approach to the approximation of fuzzy numbers and its arithmetic and characteristicses_ES
dc.typejournal articlees_ES
dc.rights.accessRightsembargoed accesses_ES
dc.identifier.doihttps://doi.org/10.1016/j.fss.2023.108727
dc.type.hasVersionAMes_ES


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