Correct Models of Fuzzy If--Then Rules are Continuous

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F06%3A00000160" target="_blank" >RIV/61988987:17310/06:00000160 - isvavai.cz</a>
Alternative codes found
RIV/61988987:17610/06:00000080 RIV/61988987:17610/06:00000190 RIV/61988987:17310/06:00000153
Result on the web
—
DOI - Digital Object Identifier
—

Result language
angličtina
Original language name
Correct Models of Fuzzy If--Then Rules are Continuous
Original language description
We show that a system of fuzzy IF-THEN rules being modeled correctly works as a partially given (fuzzy) function. We investigate the question whether this function is continuous. We prove that correctness of models of fuzzy IF-THEN rules is connected with the problem of solvability of the respective system of fuzzy relation equations. In this and only this case a model of fuzzy IF-THEN rules is continuous. As a side result we have established a new criterion of a solvability of a system of fuzzy relation equations with $sup-*$-composition.
Czech name
Korektní modély fuzzy IF-THEN pravidel jsou spojité
Czech description
Pojem korektního modelu je spojen s řešitelnosti soustavy fuzzy relačních rovnic. Jen v případě řešitelnosti je model fuzzy IF-THEN pravidel spojitý.

Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GA201%2F04%2F1033" target="_blank" >GA201/04/1033: Approximate reasoning and generalized quantifiers</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2006
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)