Synthesizing fuzzy logic systems based on Taylor expansion and input-output data

Based on two fundamental fuzzy sets and input-output data of unknown nonlinear smooth functions, the fuzzy logic systems are synthesized in this paper. The Taylor expansion provides the fixed form of fuzzy IF-THEN rules. The two fundamental fuzzy sets can extract information from the Taylor expansion. Then the input-output data determine partially the parameters of the fuzzy IF-THEN rules. The remainder parameters can be determined by the partial derivatives of finite discrete functions. Finally, the simulation shows the validity of this method.