Necessary conditions for some typical fuzzy systems as universal approximators

摘要: Abstract We investigate necessary conditions for general single-input single-output fuzzy systems and a class of typical multiple-input as universal approximators continuous functions defined on compact domains with arbitrarily small uniform approximation error bounds. Considering the case where only available data about function to be approximated are finite set its extrema, we have established some function. The can used practically determine input sets, output sets rules systems. Furthermore, these provide basis insightful analysis strengths well limitations main strength is that number may needed uniformly approximate complicated formulation but relatively extrema. limitation that, in order highly oscillatory functions, must large. © 1997 Elsevier Science Ltd.