Approximations between fuzzy expert systems and neural networks

Abstract

The fuzzy expert system we are concerned about in this paper is a rule-based fuzzy expert system using any method of approximate reasoning to evaluate the rules when given new data. In this paper we argue that: (1) any continuous fuzzy expert system may be approximated by a neural net; and (2) any continuous neural net (feedforward, multilayered) may be approximated by a fuzzy expert system. We show how to train the neural net and how to write down the rules in the fuzzy expert system.