SVD based reduction for subdivided rule bases

This paper is motivated by the fact that though fuzzy and B-spline techniques are popular engineering tools, their utilisation is being restricted by their exponential complexity property. As a result SVD based reduction techniques have emerged. These methods apply singular value decomposition to the characteristic matrix of the rule base. The maximum size of the rule base taken into consideration is limited by size of operation memory available for singular value decomposition. The method proposed in this paper is capable of applying singular value decomposition step by step to the partitions of the rule base. Therefore, using the proposed extension, there is no limit, theoretically, for the size of the rule bases