SUFFICIENT CONDITION FOR LINEAR T-S FUZZY SYSTEMS AS UNIVERSAL APPROXIMATORS

Zeng Ke · 2001

As the basis of theoretical research and pratical applications of fuzzy systems, studies on fuzzy systems as universal approximators have achieved great progress. However, only a few papers in the literature have investigated sufficient conditions for fuzzy systems as universal approximators. This paper presents a new sufficient condition under which the linear T S fuzzy systems can uniformly approximate any real continuous functions defined on a compact set to any degree of accuracy. Numerical examples demonstrate that our result is obriously better than currently available results.

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