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The purpose of this study was to design a fuzzy modeling identification approach which was based on fuzzy reasoning and fuzzy cluster and to improve the defects of traditional fuzzy modeling identification approach. In this study, first applying the fuzzy reasoning concepts induced the fuzzy model and made the base of a fuzzy modeling identification. Then applying a hierarchical fuzzy clustering approach to classify the output data, it could identify the consequent structure of the fuzzy model and set the initial value of membership function. Next, by means of a double hierarchical objective function fuzzy clustering identified the significant input variables and fuzzy rules of fuzzy modeling. Eventually, this study tried to illustrate some numerical examples to verify the validity of those proposed method.The results of this study were as follows:1. By reviewing literature understood the type of the fuzzy reasoning and the fuzzy cluster and the fuzzy modeling identification approach. According to the direction of this study adopt proper method to achieve the purpose of this study.2. This study applied a hierarchical fuzzy clustering approach to classify the output data, and obtained the initial value of membership function and reduced parameter tuning times. Next in order to reduced times of a structure of fuzzy modeling explored and reduced complexity of fuzzy model structure, and improved defects of traditional fuzzy modeling identification approach by a double hierarchical objective function fuzzy clustering that identify significant input variables and fuzzy rules of fuzzy modeling.3. Applying the results of computer simulation verified that a hierarchical fuzzy clustering approach could link different classification data of single- input single-output system into one system. And a double hierarchical objective function fuzzy clustering and fuzzy curve could rapidly identify the input variables of fuzzy modeling for the multi-input one-output system, and reduced rule base and saved inference times. Therefore the results of this study was verified useful.
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