Normal Forms for Fuzzy Logic Functions
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F03%3A00000016" target="_blank" >RIV/61988987:17610/03:00000016 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Normal Forms for Fuzzy Logic Functions
Original language description
Three types of normal forms are introduced for fuzzy logic functions: disjunctive, conjunctive and additive. Disjunctive and conjunctive normal forms are considered in two variants: infinite and finite. It is shown that infinite normal forms are univ ersal representation formulas whereas finite normal forms are universal approximation formulas for any $L$-valued function where $L$ is a support set of any complete BL-algebra. The additive normal form ``lies'' in the middle of the two others. Fo r all ofthem the estimation of the quality of approximation is suggested.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/IAA1187301" target="_blank" >IAA1187301: Theory of Fuzzy Functions and Their Representation</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2003
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Proc. Int. Seminar on Multiple-Valued Logic ISMVL 2003
ISBN
0-7695-1918-0
ISSN
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e-ISSN
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Number of pages
6
Pages from-to
59-64
Publisher name
IEEE Computer Society
Place of publication
Tokyo
Event location
Tokyo
Event date
May 16, 2003
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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