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dc.contributor.authorRoldán López de Hierro, Antonio Francisco 
dc.contributor.authorRoldán López Del Hierro, Concepción Beatriz
dc.identifier.citationAntonio Francisco Roldán López de Hierro... [et al.]. A fuzzy methodology for approaching fuzzy sets of the real line by fuzzy numbers, Fuzzy Sets and Systems, 2021, , ISSN 0165-0114, []es_ES
dc.descriptionThis manuscript has been partially supported by Junta de Andalucía by Project FQM-365 of the Andalusian CICYE, and also by Projects PID2020-119478GB-I00 and PID2019-108392GB-I00 ( AEI/10.13039/501100011033 , Ministerio de Ciencia e Innovación ).es_ES
dc.description.abstractIn this paper we introduce a novel methodology to face the problem of finding, for every fuzzy set of the real line, a fuzzy number which can be considered as an approximation of the first one in some reasonable sense. This methodology depends on a wide variety of initial parameters that each researcher may set depending on his/her own interests. The main objective of this new methodology is to ensure that many of the techniques that are currently available for fuzzy numbers can also be extended to the setting of fuzzy sets of the real line which are, in many ways, much more enriching. To do this, we carry out a study of the families of nested sets that can determine fuzzy numbers through their level sets. Next, we describe some of the main properties that this approximation methodology verifies and we show some examples to illustrate how the initial parameters influence the result of the approximation.es_ES
dc.description.sponsorshipAndalusian CICYE AEI/10.13039/501100011033, PID2019-108392GB-I00, PID2020-119478GB-I00es_ES
dc.description.sponsorshipMinisterio de Ciencia e Innovaciónes_ES
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España*
dc.subjectFuzzy set approximationes_ES
dc.subjectFuzzy numberes_ES
dc.subjectLevel setes_ES
dc.subjectNonlinear operatores_ES
dc.subjectMonotone operatores_ES
dc.titleA fuzzy methodology for approaching fuzzy sets of the real line by fuzzy numberses_ES

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Atribución-NoComercial-SinDerivadas 3.0 España
Except where otherwise noted, this item's license is described as Atribución-NoComercial-SinDerivadas 3.0 España