- Tytuł:
- Beta Fuzzy Logic Systems: Approximation Properties in the Siso Case
- Autorzy:
-
Alimi, A. M.
Hassine, R.
Selmi, M. - Powiązania:
- https://bibliotekanauki.pl/articles/911157.pdf
- Data publikacji:
- 2000
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
funkcja beta
własność aproksymacyjna
model rozmyty
beta function
universal approximation property
best approximation property
interpolation property
Sugeno fuzzy model
SISO systems - Opis:
- In this paper, a Single-Input Single-Output (SISO) Sugeno fuzzy model of the zeroth order with Beta membership functions for input variables is adopted. After the introduction of Beta Fuzzy Logic Systems (BFLS) a constructive theory is developed to establish the fact that they are universal approximators. Based on this theory, an algorithm, which can actually construct a BFLS approximating a given continuous function with an arbitrary degree of accuracy, is described. We then show that BFLSs satisfy more critical properties which are the best approximation property and the interpolation property. We complete the paper with a series of numerical comparisons between the approximation performances of BFLSs and other classes of widely used fuzzy logic systems. These comparisons confirm that BFLSs perform best in all the cases studied.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2000, 10, 4; 857-875
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł