T-S fuzzy modeling by FCRM clustering

This paper presents an algorithm to establish the T-S fuzzy model. The algorithm using fuzzy C-regression models (FCRM) clustering to find the functional relationships in the product space of the input-output data. We propose a novel cluster validity criterion to calculate overall compactness and separateness of the FCRM results and then determine an appropriate number of regression Junctions. Besides, the repartition of overlapped antecedent fuzzy set is considered. Thus, an efficient T-S fuzzy model with fewer IF-THEN rules can be generated systematically. A simulation example is provided to demonstrate the accuracy and effectiveness of our algorithm.