Beta fuzzy logic systems approximation properties in the mimo case

• Autorzy: Adel M. Alimi , Radhia Hassine , Mohamed Selmi
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

interpolation property; Sugeno fuzzy model; universal approximation property; Beta function; best approximation property; MIMO systems

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2003
• Tom: 13
• Numer: 2
• Strony: 225-238

Daty

wydano

2003

otrzymano

2001-10-26

poprawiono

2002-07-04

(nieznana)

2002-10-28

Twórcy

autor

Adel M. Alimi

• REGIM: REsearch Group on Intelligent Machines,Department of Electrical Engineering University of Sfax, ENIS, BP W, Sfax 3038, Tunisia

autor

Radhia Hassine

• Department of Mathematics, Faculty of Sciences of Monastir, Boulevard de l'environnement, Monastir 5000, Tunisia

autor

Mohamed Selmi

• Laboratory of Physics and Mathematics, Department of Mathematics Faculty of Sciences of Sfax, Sfax 3038, Tunisia

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