Interpolation in hierarchical fuzzy rule bases

L. Kóczy, Kaoru Hirota, Leila Muresan

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

26 Citations (Scopus)

Abstract

A major issue in the field of fuzzy applications is the complexity of the algorithms used. In order to obtain efficient methods, it is necessary to reduce complexity without losing the easy interpretability of the components. One of the possibilities to achieve complexity reduction is to combine fuzzy rule interpolation with the use of hierarchical structured fuzzy rule bases, as proposed by Sugeno. As an interpolation method the KH interpolation is used, but other techniques are also suggested. The difficulty of applying this method is that it is often impossible to determine a partition of any subspace of the original state space so that in all elements of the partition the number of variables can be locally reduced. Instead of this, a sparse fuzzy partition is searched for and so the local reduction of dimensions will be usually possible. In this case however, interpolation in the sparse partition itself, i.e. interpolation in the meta-rule level is necessary. This paper describes a method how such a multi-level interpolation is possible.

Original languageEnglish
Title of host publicationIEEE International Conference on Fuzzy Systems
PublisherIEEE
Pages471-477
Number of pages7
Volume1
Publication statusPublished - 2000
EventFUZZ-IEEE 2000: 9th IEEE International Conference on Fuzzy Systems - San Antonio, TX, USA
Duration: May 7 2000May 10 2000

Other

OtherFUZZ-IEEE 2000: 9th IEEE International Conference on Fuzzy Systems
CitySan Antonio, TX, USA
Period5/7/005/10/00

Fingerprint

Fuzzy rules
Interpolation

ASJC Scopus subject areas

  • Chemical Health and Safety
  • Software
  • Safety, Risk, Reliability and Quality

Cite this

Kóczy, L., Hirota, K., & Muresan, L. (2000). Interpolation in hierarchical fuzzy rule bases. In IEEE International Conference on Fuzzy Systems (Vol. 1, pp. 471-477). IEEE.

Interpolation in hierarchical fuzzy rule bases. / Kóczy, L.; Hirota, Kaoru; Muresan, Leila.

IEEE International Conference on Fuzzy Systems. Vol. 1 IEEE, 2000. p. 471-477.

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

Kóczy, L, Hirota, K & Muresan, L 2000, Interpolation in hierarchical fuzzy rule bases. in IEEE International Conference on Fuzzy Systems. vol. 1, IEEE, pp. 471-477, FUZZ-IEEE 2000: 9th IEEE International Conference on Fuzzy Systems, San Antonio, TX, USA, 5/7/00.
Kóczy L, Hirota K, Muresan L. Interpolation in hierarchical fuzzy rule bases. In IEEE International Conference on Fuzzy Systems. Vol. 1. IEEE. 2000. p. 471-477
Kóczy, L. ; Hirota, Kaoru ; Muresan, Leila. / Interpolation in hierarchical fuzzy rule bases. IEEE International Conference on Fuzzy Systems. Vol. 1 IEEE, 2000. pp. 471-477
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