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Constructive approximation of level continuous fuzzy functions1.
- Source :
-
Journal of Intelligent & Fuzzy Systems . 2019, Vol. 36 Issue 6, p5899-5907. 9p. - Publication Year :
- 2019
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10641246
- Volume :
- 36
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Journal of Intelligent & Fuzzy Systems
- Publication Type :
- Academic Journal
- Accession number :
- 137036887
- Full Text :
- https://doi.org/10.3233/JIFS-181722