TY - GEN
T1 - On the use of Fourier methods in URC fuzzy system design
AU - Weinschenk, Jeffrey J.
AU - Marks, Robert J.
AU - Combs, William E.
PY - 2004
Y1 - 2004
N2 - Previously, we demonstrated that rule explosion is avoidable in fuzzy inference engines by mapping an intersection rule configuration (IRC) to a union rule configuration (URC). Although conversion between IRC and URC systems is simple for a special, additively separable class of IRC rule tables, the conversion process is more difficult when the IRC rule table is additively inseparable. In a previous paper, we demonstrate a layered URC architecture can implement these types of systems, but did not provide a method for computing the weights. In this follow-on paper, we provide a Fourier-based algorithm for computation of the weights. We also prove that this technique is optimal in the sense that the mean-square approximation error is minimized for a fixed amount of resources. Finally, through the course of an example, we explore implementation issues and evaluate the overall effectiveness of the technique.
AB - Previously, we demonstrated that rule explosion is avoidable in fuzzy inference engines by mapping an intersection rule configuration (IRC) to a union rule configuration (URC). Although conversion between IRC and URC systems is simple for a special, additively separable class of IRC rule tables, the conversion process is more difficult when the IRC rule table is additively inseparable. In a previous paper, we demonstrate a layered URC architecture can implement these types of systems, but did not provide a method for computing the weights. In this follow-on paper, we provide a Fourier-based algorithm for computation of the weights. We also prove that this technique is optimal in the sense that the mean-square approximation error is minimized for a fixed amount of resources. Finally, through the course of an example, we explore implementation issues and evaluate the overall effectiveness of the technique.
UR - http://www.scopus.com/inward/record.url?scp=11144263710&partnerID=8YFLogxK
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U2 - 10.1109/FUZZY.2004.1375529
DO - 10.1109/FUZZY.2004.1375529
M3 - Conference contribution
AN - SCOPUS:11144263710
SN - 0780383532
T3 - IEEE International Conference on Fuzzy Systems
SP - 911
EP - 916
BT - 2004 IEEE International Conference on Fuzzy Systems - Proceedings
T2 - 2004 IEEE International Conference on Fuzzy Systems - Proceedings
Y2 - 25 July 2004 through 29 July 2004
ER -