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Gradual Sets: An Approach to Fuzzy Sets

dc.contributor.authorGarcía Hernández, Josefa María 
dc.contributor.authorJara Martínez, Pascual 
dc.date.accessioned2023-04-12T10:49:50Z
dc.date.available2023-04-12T10:49:50Z
dc.date.issued2023-02-27
dc.identifier.citationGarcía, J. M., & Jara, P. (2023). Gradual Sets: An Approach to Fuzzy Sets. Advances in Fuzzy Systems, 2023 [https://doi.org/10.1155/2023/6163672]es_ES
dc.identifier.urihttps://hdl.handle.net/10481/81023
dc.descriptionThis work was partially supported by the Research Group “FQM-266-Anillos y Módulos.” This work was supported by grant A-FQM-394-UGR20 from Programa Operativo FEDER 2014–2020 and Consejería de Economía, Conocimiento, Empresas y Universidad de la Junta de Andalucía (Spain) and by the “María de Maeztu” Excellence Unit IMAG, reference CEX2020-001105-M, funded by MCIN/ AEI/10.13039/501100011033/.es_ES
dc.description.abstractIn the fuzzy theory of sets and groups, the use of α-levels is a standard to translate problems from the fuzzy to the crisp framework. Using strong α-levels, it is possible to establish a one to one correspondence which makes possible doubly, a gradual and a functorial treatment of the fuzzy theory. The main result of this paper is to identify the class of fuzzy sets, respectively, fuzzy groups, with subcategories of the functorial categories Set (0, 1], resp., Gr (0, 1]. In this line, the algebraic potential of this theory will be reached, in forthcoming papers.es_ES
dc.description.sponsorshipResearch Group “FQM-266-Anillos y Móduloses_ES
dc.description.sponsorshipGrant A-FQM-394-UGR20 from Programa Operativo FEDER 2014–2020es_ES
dc.description.sponsorshipConsejería de Economía, Conocimiento, Empresas y Universidad de la Junta de Andalucía (Spain)es_ES
dc.description.sponsorship“María de Maeztu” Excellence Unit IMAG, reference CEX2020-001105-M, funded by MCIN/ AEI/10.13039/501100011033/es_ES
dc.language.isoenges_ES
dc.publisherHindawies_ES
dc.rightsAtribución 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.titleGradual Sets: An Approach to Fuzzy Setses_ES
dc.typejournal articlees_ES
dc.rights.accessRightsopen accesses_ES
dc.identifier.doi10.1155/2023/6163672
dc.type.hasVersionVoRes_ES


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