Fuzzy transforms of higher order approximate derivatives: A theorem
Result description
If we use a fuzzy transform of a higher order for approximation, we get an even better approximation than the ordinary F-transform. In this paper, we show that fuzzy transforms of higher order do not only approximate a function itself, they also approximate its derivative(s).
Keywords
Fuzzy transformHigher order fuzzy transformDerivativesUniversal approximation property
The result's identifiers
Result code in IS VaVaI
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Fuzzy transforms of higher order approximate derivatives: A theorem
Original language description
If we use a fuzzy transform of a higher order for approximation, we get an even better approximation than the ordinary F-transform. In this paper, we show that fuzzy transforms of higher order do not only approximate a function itself, they also approximate its derivative(s).
Czech name
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Czech description
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Classification
Type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Fuzzy Sets and Systems
ISSN
0165-0114
e-ISSN
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Volume of the periodical
180
Issue of the periodical within the volume
1
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
14
Pages from-to
55-68
UT code for WoS article
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EID of the result in the Scopus database
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Basic information
Result type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP
BA - General mathematics
Year of implementation
2011