Can neural nets be universal approximators for fuzzy functions?
We first argue that the extension principle is too computationally involved to be an efficient way for a computer to evaluate fuzzy functions. We then suggest using a-cuts and interval arithmetic to compute the values of fuzzy functions. Using this method of computing fuzzy functions, we then show that neural nets are universal approximators for (computable) fuzzy functions, when we only input non-negative, or non-positive, fuzzy numbers. (C) 1999 Elsevier Science B.V. All rights reserved.
neural nets universal approximator fuzzy functions interval arithmetic