Although the identification of a fuzzy system by a feedforward neural
network is obviously possible, whenever the system was continuous, how
ever when we use fuzzy max-min neural network, some problems on the le
arning of the network arise. In this paper we present a method to iden
tify a fuzzy relation by a fuzzy max-min neural network. We adapt the
learning algorithm backpropagation to learning of max-min neural netwo
rk by using one which we will denote as ''smooth derivative''. Finally
, we present some examples and a comparison with a similar method.