Function approximation capabilities of intuitionistic fuzzy reasoning neural networks

A controlling model of an adaptive neuro-intuitionistic fuzzy inference system(ANIFIS) is constructed by utilizing intuitionistic fuzzy sets theory with the function approximation property of the model proved.Zadeh fuzzy inference neural nets are developed into intuitionistic fuzzy inference nets,and a model of ANIFIS in Takagi-Sugeno type is established.The attribute functions and the inference rules of the system variables are devised with computational relations between the layers of input and output and a synthesized computational expression of system outputs ascertained.A successful proof of global approximation property of the model is accomplished by testifying that the computational expression of output results of the founded model satisfies the three hypothetic conditions of Stone-Weirstrass theorem.