Interpolation in structured fuzzy rule bases

L. Kóczy, Kaoru Hirota

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

9 Citations (Scopus)

Abstract

Fuzzy rule based systems are important in many control engineering applications. In real problems, often the number of input variables is very high. Time complexity of the fuzzy control algorithms based on either the CRI or Mamdani's technique is too high for real time control. In the real situations, often a few or maximally a few dozen variables dominate the system in a certain area of the state space. This is why an experienced operator is able to control rather well, although overview of all the variables is virtually impossible. The subset of variables changes when the working point changes. Hierarchically structured rule bases are introduced where 'sub-rule bases' contain only subsets of the input variables. Fuzzy partition of the state space is applied for the structuring of the total input universe of discourse. While application of the corresponding sub-rule base in the 'middle' of a fuzzy subset of X is unambiguous, the 'twilight zones', i.e. areas belonging to different subsets to a greater than 0 degree form a serious theoretical problem. The idea of interpolation based on cylindric extensions of the subspaces is introduced and the necessary formulas are presented. Some examples are shown.

Original languageEnglish
Title of host publication1993 IEEE International Conference on Fuzzy Systems
PublisherPubl by IEEE
Pages402-405
Number of pages4
ISBN (Print)0780306155
Publication statusPublished - 1993
EventSecond IEEE International Conference on Fuzzy Systems - San Francisco, CA, USA
Duration: Mar 28 1993Apr 1 1993

Other

OtherSecond IEEE International Conference on Fuzzy Systems
CitySan Francisco, CA, USA
Period3/28/934/1/93

Fingerprint

Fuzzy rules
Interpolation
Real time control
Knowledge based systems
Fuzzy control

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Kóczy, L., & Hirota, K. (1993). Interpolation in structured fuzzy rule bases. In 1993 IEEE International Conference on Fuzzy Systems (pp. 402-405). Publ by IEEE.

Interpolation in structured fuzzy rule bases. / Kóczy, L.; Hirota, Kaoru.

1993 IEEE International Conference on Fuzzy Systems. Publ by IEEE, 1993. p. 402-405.

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

Kóczy, L & Hirota, K 1993, Interpolation in structured fuzzy rule bases. in 1993 IEEE International Conference on Fuzzy Systems. Publ by IEEE, pp. 402-405, Second IEEE International Conference on Fuzzy Systems, San Francisco, CA, USA, 3/28/93.
Kóczy L, Hirota K. Interpolation in structured fuzzy rule bases. In 1993 IEEE International Conference on Fuzzy Systems. Publ by IEEE. 1993. p. 402-405
Kóczy, L. ; Hirota, Kaoru. / Interpolation in structured fuzzy rule bases. 1993 IEEE International Conference on Fuzzy Systems. Publ by IEEE, 1993. pp. 402-405
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