Beta Fuzzy Logic Systems: Approximation Properties in the Siso Case

• Autorzy: Alimi A. M. , Hassine R. , Selmi M.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

beta function; universal approximation property; best approximation property; interpolation property; Sugeno fuzzy model; SISO systems

PL

funkcja beta; własność aproksymacyjna; model rozmyty

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2000
• Tom: Vol. 10, no 4
• Strony: 857--875
• Opis fizyczny: Bibliogr. 38 poz., wykr., tab.

Twórcy

autor

Alimi A. M.

autor

Hassine R.

autor

Selmi M.

• REGIM: Research Group on Intelligent Machines University of Sfax, National School of Engineers of Sfax Department of Electrical Engineering, BP W 3038, Sfax, Tunisia,