Global and local performance in fuzzy modeling

John Yen, Wayne Gillespie

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

Abstract

Most of the techniques for constructing fuzzy models from data focus only on minimizing the error between the model's output and the training data; however, these approaches may result in a fuzzy model where individual rules are misleading. The goal of our research is to develop a scheme for identifying Takagi-Sugeno-Kang (TSK) models whose individual rules approximate the training data covered by a rule (local fitness), while the entire model approximates the whole training set (global fitness). We propose an approach that first initializes a Kalman filter based on local fitness. The Kalman filter then is used to identify the consequent parameters of TSK models by minimizing global fitness. We are motivated to use fuzzy models over other modeling paradigms to obtain insights about the local behavior of the model using IF-THEN rules which decompose a complex problem into readily understandable portions. If the local behavior of the model is not consistent with the system or underlying data, then the justification for modeling in a fuzzy logic framework is diminished to a degree if not entirely. We illustrate our approach using two model identification problems.

Original languageEnglish (US)
Title of host publication1998 IEEE International Conference on Fuzzy Systems Proceedings - IEEE World Congress on Computational Intelligence
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1009-1014
Number of pages6
Volume2
ISBN (Print)078034863X, 9780780348639
DOIs
StatePublished - Jan 1 1998
Event1998 IEEE International Conference on Fuzzy Systems, FUZZY 1998 - Anchorage, United States
Duration: May 4 1998May 9 1998

Other

Other1998 IEEE International Conference on Fuzzy Systems, FUZZY 1998
CountryUnited States
CityAnchorage
Period5/4/985/9/98

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All Science Journal Classification (ASJC) codes

  • Logic
  • Control and Optimization
  • Modeling and Simulation
  • Chemical Health and Safety
  • Software
  • Safety, Risk, Reliability and Quality

Cite this

Yen, J., & Gillespie, W. (1998). Global and local performance in fuzzy modeling. In 1998 IEEE International Conference on Fuzzy Systems Proceedings - IEEE World Congress on Computational Intelligence (Vol. 2, pp. 1009-1014). [686256] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/FUZZY.1998.686256