Affiliations: Departament de Matemàtiques, and Institut Universitaride Matemàtiques i Aplicacions de Castelló (IMAC), Universitat Jaume I, Campus del Riu Sec. s/n, Castelló, Spain
Correspondence:
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Corresponding author. Juan J. Font, Departament de Matemàtiques, and Institut Universitari de Matemàtiques i Aplicacions de Castelló (IMAC), Universitat Jaume I, Campus del Riu Sec. s/n, 12071 Castelló, Spain. E-mail: font@uji.es.
Note: [1] This research is supported by Spanish Government (grant MTM2016-77143-P, AEI/FEDER, UE) and Generalitat Valenciana (Projecte GV/2018/110).
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.
