Wyniki wyszukiwania - BazTech

Ograniczanie wyników

1 International Journal of Applied Mathematics and Computer Science

1 2000

Znaleziono wyników: 1

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: własność aproksymacyjna

Sortuj według:

Ogranicz wyniki do:

Beta Fuzzy Logic Systems: Approximation Properties in the Siso Case

Alimi A. M., Hassine R., Selmi M.

International Journal of Applied Mathematics and Computer Science

2000

Vol. 10, no 4

857-875

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.