A version of the Stone-Weierstrass theorem in fuzzy analysis
Impact
Metadata
Show full item recordcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
comunitat-uji-handle4:
INVESTIGACIONMetadata
Title
A version of the Stone-Weierstrass theorem in fuzzy analysisDate
2017-08Publisher
International Scientific Research Publications (ISRP)Bibliographic citation
FONT, Juan J.; SANCHIS, Delia; SANCHIS, Manuel. A version of the Stone-Weierstrass theorem in fuzzy analysis. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, vol. 10, no 8, p. 4275-4283.Type
info:eu-repo/semantics/articlePublisher version
http://www.isr-publications.com/jnsa/articles-5327-a-version-of-the-stone-weiers ...Version
info:eu-repo/semantics/publishedVersionAbstract
Let
C
(
K
,
E
1
)
be the space of continuous functions defined between a compact Hausdorff space
K
and the space of fuzzy
numbers
E
1
endowed with the supremum metric. We provide a set of sufficient ... [+]
Let
C
(
K
,
E
1
)
be the space of continuous functions defined between a compact Hausdorff space
K
and the space of fuzzy
numbers
E
1
endowed with the supremum metric. We provide a set of sufficient conditions on a subspace of
C
(
K
,
E
1
)
in order
that it be dense. We also obtain a similar result for interpolating families of
C
(
K
,
E
1
)
. As a corollary of the above results we prove
that certain fuzzy-number-valued neural networks can approximate any continuous fuzzy-number-valued function defined on
a compact subspace of
R
n [-]
Investigation project
Spanish Government (MTM2016-77143-P) ; Universitat Jaume I (P1- 1B2014-35) ; Generalitat Valenciana (Projecte AICO/2016/030)Rights
Copyright © 2017 International Scientific Research Publications (ISRP)
http://rightsstatements.org/vocab/InC/1.0/
info:eu-repo/semantics/openAccess
http://rightsstatements.org/vocab/InC/1.0/
info:eu-repo/semantics/openAccess
This item appears in the folowing collection(s)
- MAT_Articles [751]