Avoidance of rule explosion by mapping fuzzy systems to a union rule configuration

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

Research output: Contribution to conferencePaperpeer-review

29 Scopus citations

Abstract

We present a novel mapping whereby a classical fuzzy system, based on an intersection rule configuration (IRC), is converted to a union rule configuration (URC) system. Previous work has demonstrated that URC fuzzy systems avoid rule explosion, where a linear increase in the number of antecedents gives rise to an exponential increase in the number of fuzzy rules. However, there has been some doubt as to the validity of URC systems and previous findings. We resolve lingering questions and prove that any arbitrary IRC system can be converted to a URC system with identical performance. Further, we show that URC systems do avoid rule explosion for many problems. Finally, we note that a URC system is a universal approximator.

Original languageEnglish (US)
Pages43-48
Number of pages6
StatePublished - 2003
EventThe IEEE International conference on Fuzzy Systems - St. Louis, MO, United States
Duration: May 25 2003May 28 2003

Other

OtherThe IEEE International conference on Fuzzy Systems
Country/TerritoryUnited States
CitySt. Louis, MO
Period5/25/035/28/03

All Science Journal Classification (ASJC) codes

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

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