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5 results on '"Sanchis, Delia"'

2. A version of Stone-Weierstrass theorem in Fuzzy Analysis

Author

Font, Juan J., Sanchis, Delia, and Sanchis, Manuel

Subjects
Fuzzy Analysis, Fuzzy functions, Fuzzy numbers
Abstract

[EN] Let C(K, E1) be the space of continuous functions defined between a compact Hausdorff space K and the space of fuzzy numbers E1 endowed with the supremum metric. We provide a sufficient set of conditions on a subspace of C(K, E1) in order that it be dense. We also obtain a similar result for interpolating families of C(K, E1)., This research is supported by Spanish Government (MTM2016-77143-P), Universitat Jaume I (Projecte P1-1B2014-35) and Generalitat Valenciana (Projecte AICO/2016/030).

Published
2017

4. Constructive approximation of level continuous fuzzy functions1.

Author

Font, Juan J., Sanchis, Delia, and Sanchis, Manuel

Subjects
*WEIERSTRASS-Stone theorem, *FUZZY arithmetic, *FUNCTION spaces, *CONTINUOUS functions, *FUZZY numbers, *TOPOLOGY, *HAUSDORFF spaces
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]

Published
2019
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5. Constructive approximation of level continuous fuzzy functions1.

Author

Font, Juan J., Sanchis, Delia, and Sanchis, Manuel

Subjects
WEIERSTRASS-Stone theorem, FUZZY arithmetic, FUNCTION spaces, CONTINUOUS functions, FUZZY numbers, TOPOLOGY, HAUSDORFF spaces
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]

Published
2019
Full Text
View/download PDF

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