Constructive approximation of level continuous fuzzy functions 1
comunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
comunitat-uji-handle4:
INVESTIGACIONMetadades
Títol
Constructive approximation of level continuous fuzzy functions 1Data de publicació
2019-06Editor
IOSCita bibliogràfica
FONT, Juan J.; SANCHIS, Delia; SANCHIS, Manuel. Constructive approximation of level continuous fuzzy functions 1. Journal of Intelligent & Fuzzy Systems, 2019, 36(6): 5899-5907Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
https://content.iospress.com/articles/journal-of-intelligent-and-fuzzy-systems/i ...Versió
info:eu-repo/semantics/submittedVersionParaules clau / Matèries
Resum
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 ... [+]
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. [-]
Proyecto de investigación
Spanish Government (grant MTM2016-77143-P, AEI/FEDER, UE) ; Generalitat Valenciana (Projecte GV/2018/110).Drets d'accés
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