Hc. Andersen et al., COMMENTS ON FUNCTIONAL EQUIVALENCE BETWEEN RADIAL BASIS FUNCTION NETWORKS AND FUZZY INFERENCE SYSTEMS, IEEE transactions on neural networks, 9(6), 1998, pp. 1529-1531
The above paper claims that under a set of minor restrictions radial b
asis function networks and fuzzy inference systems are functionally eq
uivalent. The purpose of this letter is to show that this set of restr
ictions is incomplete and that, when it is completed, the said functio
nal equivalence applies only to a small range of fuzzy inference syste
ms. In addition, a modified set of restrictions is proposed which is a
pplicable for a much wider range of fuzzy inference systems.