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Constructive approximation of level continuous fuzzy functions 1
dc.contributor.author | Font, Juan J. | |
dc.contributor.author | Sanchis, Delia | |
dc.contributor.author | Sanchis López, Manuel | |
dc.date.accessioned | 2019-07-23T08:46:26Z | |
dc.date.available | 2019-07-23T08:46:26Z | |
dc.date.issued | 2019-06 | |
dc.identifier.citation | FONT, Juan J.; SANCHIS, Delia; SANCHIS, Manuel. Constructive approximation of level continuous fuzzy functions 1. Journal of Intelligent & Fuzzy Systems, 2019, 36(6): 5899-5907 | ca_CA |
dc.identifier.uri | http://hdl.handle.net/10234/183341 | |
dc.description.abstract | We consider the space of continuous functions defined between a locally compact Hausdorff space and the space of fuzzy numbers endowed with the level convergence topology. We obtain a Stone-Weierstrass type theorem for such space of functions equipped with the compact open topology. As a corollary of the above results, we prove that such functions can be approximated by certain fuzzy-number-valued neural networks and sums of fuzzy-number-valued ridge functions. | ca_CA |
dc.format.extent | 9 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | IOS | ca_CA |
dc.rights | © 2019 – IOS Press and the authors. All rights reserved. | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | * |
dc.subject | Stone-Weierstrass theorem | ca_CA |
dc.subject | fuzzy-number-valued continuous functions | ca_CA |
dc.subject | level convergence | ca_CA |
dc.subject | neural networks | ca_CA |
dc.subject | ridge functions | ca_CA |
dc.title | Constructive approximation of level continuous fuzzy functions 1 | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | http://dx.doi.org/10.3233/JIFS-181722 | |
dc.relation.projectID | Spanish Government (grant MTM2016-77143-P, AEI/FEDER, UE) ; Generalitat Valenciana (Projecte GV/2018/110). | ca_CA |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.relation.publisherVersion | https://content.iospress.com/articles/journal-of-intelligent-and-fuzzy-systems/ifs181722 | ca_CA |
dc.type.version | info:eu-repo/semantics/submittedVersion | ca_CA |
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