Alimi, Adel M. ; Hassine, Radhia ; Selmi, Mohamed
Korbicz, Józef - red. ; Uciński, Dariusz - red.
Beta fuzzy logic systems: Approximation properties in the MIMO case
Group publication title:
Subject and Keywords:
Beta function ; universal approximation property ; best approximation property ; interpolation property ; Sugeno fuzzy model ; MIMO systems
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.
Zielona Góra: Uniwersytet Zielonogórski
AMCS, volume 13, number 2 (2003) ; click here to follow the link