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《Control and Decision》 2007-05
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Function approximation capabilities of intuitionistic fuzzy reasoning neural networks

LEI Ying-jie,LU Yan-li,LI Zhao-yuan(Missile Institute,Air Force Engineering University,Sanyuan 713800,China.  
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.
【Fund】: 国防科技预研基金项目(51406030104DZ0120);; 陕西省自然科学基金项目(2006F18)
【CateGory Index】: TP183
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