- Tytuł:
- Beta Fuzzy Logic Systems: Approximation Properties in the mimo Case
- Autorzy:
-
Alimi, A. M.
Hassine, R.
Selmi, M. - Powiązania:
- https://bibliotekanauki.pl/articles/908193.pdf
- Data publikacji:
- 2003
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
informatyka
beta function
universal approximation property
best approximation property
interpolation property
Sugeno fuzzy model
MIMO systems - Opis:
- Many researches have been interested in the approximation properties of Fuzzy Logic Systems (FLS), which, like neural networks, can be seen as approximation schemes. Almost all of them tackled the Mamdani fuzzy model, which was shown to have many interesting approximation features. However, only in few cases the Sugeno fuzzy model was considered. In this paper, we are interested in the zero-order Multi-Input-Multi-Output (MIMO) Sugeno fuzzy model with Beta membership functions. This leads to Beta Fuzzy Logic Systems (BFLS). We show that BFLSs are universal approximators. We also prove that they possess the best approximation property and the interpolation characteristic.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2003, 13, 2; 225-238
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł