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2003 | 13 | 2 | 225-238

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Beta fuzzy logic systems approximation properties in the mimo case

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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.








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  • REGIM: REsearch Group on Intelligent Machines,Department of Electrical Engineering University of Sfax, ENIS, BP W, Sfax 3038, Tunisia
  • Department of Mathematics, Faculty of Sciences of Monastir, Boulevard de l'environnement, Monastir 5000, Tunisia
  • Laboratory of Physics and Mathematics, Department of Mathematics Faculty of Sciences of Sfax, Sfax 3038, Tunisia


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