Fuzzy
Rule Base Reduction

Cleveland, Ohio

Various attempts have been made over the years to reduce the rule base of a fuzzy logic system. Rule base reduction may be important for computational reasons in those cases where a fuzzy system has to be implemented in real time. Professor Yeung Yam and his colleagues have recently published an algorithm [2] based on singular value decomposition whereby a fuzzy rule base can be reduced. Professor Simon's submitted paper [1] has demonstrated the technique on a fuzzy estimator for motor winding current estimation, where the rule base was reduced from 49 rules to 9 rules. This site makes general-purpose MATLAB code available for fuzzy rule base reduction using Yam's algorithm. The code consists of two files that are zipped up in the file Reduce.zip.

The two files in Reduce.zip are Reduce.m (the main file) and FuzzFunc.m (an auxiliary file). Both files are necessary for the rule base reduction algorithm. In order to run the rule base reduction algorithm, perform the following steps.

- Download the zip file by clicking on the above link.
- Unzip Reduce.zip to get Reduce.m and FuzzFunc.m. If you don't have software to unzip the file, you can download a free evaluation version of WinZip from www.winzip.com.
- Run MATLAB and make sure that
the location of Reduce.m and FuzzFunc.m on your hard drive is part of your
MATLAB path. For example, if you downloaded the files to the c:\reduce
directory on your hard drive, type

>> "path(path, 'c:\reduce');"

at MATLAB's command prompt. - Type "Reduce" at the MATLAB prompt.

*References*

- D. Simon, “Design and Rule
Base Reduction of a Fuzzy Filter for the Estimation of Motor Currents,”
*International Journal of Approximate Reasoning*, vol. 25, pp. 145-167, October 2000 - pdf, 373 KB - Y. Yam, P. Baranyi, and C.
Yang, "Reduction of Fuzzy Rule Base Via Singular Value
Decomposition,"
*IEEE Transactions on Fuzzy Systems*, Volume 7, Number 2, pp. 120-132, 1999. - Y. Yam, "Fuzzy Approximation
Via Grid Point Sampling and Singular Value Decomposition,"
*IEEE Transactions on Systems, Man, and Cybernetics – Part B: Cybernetics*, Volume 27, Number 6, pp. 933-951, 1997.

Department of Electrical and Computer Engineering

Last Revised: December 13, 2013