A New Proof of the Combinatorial Identity in Fuzzy Neural Network
Qiang Yu · 2008
An important combinatorial identity in the study of universal approximation of fuzzy neural network was proved.According to the binomial theorem expansion of the identity,the proof was done skillfully by some elementary methods,including item-match,item-decomposition and differential.The proof of this combinatorial identity is direct and brief,thus providing an effective way for further study of universal approximation of fuzzy neural network.