Comments on "Functional equivalence between radial basis function networks and fuzzy inference systems" [with reply]

In the original paper of Jang and Sun (ibid., vol.4, p. 156-9, 1993), it is claimed that under a set of minor restrictions radial basis function networks and fuzzy inference systems are functionally equivalent. The paper shows that this set of restrictions is incomplete and that, when it is completed, the said functional equivalence applies only to a small range of fuzzy inference systems. In addition, a modified set of restrictions is proposed which is applicable for a much wider range of fuzzy inference systems. The original authors reply that they concerned themselves only with input-output functions, and not with the whole of learning. They also draw attention to the intention of their paper, written at a time when the field of study was much less mature.