A New Universal Approximation Result For Fuzzy Systems, Which Reflects CNF--DNF Duality
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F02%3A00000001" target="_blank" >RIV/61988987:17310/02:00000001 - isvavai.cz</a>
Result on the web
—
DOI - Digital Object Identifier
—
Alternative languages
Result language
angličtina
Original language name
A New Universal Approximation Result For Fuzzy Systems, Which Reflects CNF--DNF Duality
Original language description
There are two main fuzzy system methodologies for translating expert rules into a logical formula: In Mamdani's methodology, we get a DNF formula (disjunction of conjunctions), and in a methodology which uses logical implications, we get, in effect, a CNF formula (conjunction of disjunctions). For both methodologies, universal approximation results have been proven.Since in fuzzy logic, there is a known relation F_CNF(x)<= F_DNF(x) between CNF and DNF forms of a propositional formula F, it is reasonableto expect that we would be able to prove the existence of approximations for which a similar relation F_CNF(x)<= F_DNF(x) holds. Such existence is proved in our paper.
Czech name
—
Czech description
—
Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—
Result continuities
Project
—
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2002
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
International Journal of Intelligent Systems
ISSN
0884-8173
e-ISSN
—
Volume of the periodical
12
Issue of the periodical within the volume
Prosinec
Country of publishing house
US - UNITED STATES
Number of pages
10
Pages from-to
1121-1130
UT code for WoS article
—
EID of the result in the Scopus database
—