On the use of Fourier methods in URC fuzzy system design

Jeffrey J. Weinschenk, Robert J. Marks, William E. Combs

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Scopus citations

Abstract

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.

Original languageEnglish (US)
Title of host publication2004 IEEE International Conference on Fuzzy Systems - Proceedings
Pages911-916
Number of pages6
DOIs
StatePublished - 2004
Event2004 IEEE International Conference on Fuzzy Systems - Proceedings - Budapest, Hungary
Duration: Jul 25 2004Jul 29 2004

Publication series

NameIEEE International Conference on Fuzzy Systems
Volume2
ISSN (Print)1098-7584

Other

Other2004 IEEE International Conference on Fuzzy Systems - Proceedings
Country/TerritoryHungary
CityBudapest
Period7/25/047/29/04

All Science Journal Classification (ASJC) codes

  • Software
  • Theoretical Computer Science
  • Artificial Intelligence
  • Applied Mathematics

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