Summary
Fuzzy controllers can be interpreted as an interpolation technique on the basis of fuzzy clusters of input/output pairs. It is therefore obvious that fuzzy clustering algorithms are a promising tool for supporting the design of a fuzzy controller when data of the process to be controlled are available.
This paper discusses the possibilities and limitations of fuzzy clustering for fuzzy control
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
BEZDEK, J.C. (1973): Fuzzy Mathematics in Pattern Classification. Ph.D. Dissertation, Appl. Math., Cornell Univ., Ithaca, NY.
BEZDEK, J.C., and PAL, S.K. (1992): Fuzzy Models for Pattern Recognition. IEEE Press, New York.
DUBOIS, D., and PRADE, H. (1988): Possibility Theory. Plenum Press, New York.
DUBOIS, D., and PRADE, H. (1993): Possibility Theory, Belief Revision and Non-Monotonic Logic. Proc. EUFIT’93, Aachen, 714–719.
DUNN, J.C. (1974): A Fuzzy Relative of the ISODATA Process and its Use in Detecting Compact Well-Separated Clusters. Journal of Cybernetics, 3, 32–57.
HÖHLE, U., and KLAWONN, F. (1992): Fuzzy Control und Ununterscheidbarkeit. Proc. VDE-Fachtagung Technische Anwendungen von Fuzzy-Systemen, Dortmund, 3–9.
KLAWONN, F. (1994): Fuzzy Sets and Vague Environments. Fuzzy Sets and Systems (to appear).
KLAWONN, F., and KRUSE, R. (1993): Equality Relations as a Basis for Fuzzy Control. Fuzzy Sets and Systemsj 54, 147–156
KLAWONN, F., and KRUSE, R. (1993): Fuzzy Control as Interpolation on the Basis of Equality Relations. Proc. 2nd IEEE International Conference on Fuzzy Systems 1993, IEEE, San Francisco, 1125–1130.
KRISHNAPURAM, R., and KELLER, J.M. (1993): A Possibilistic Approach to Clustering.IEEE Transactions on Fuzzy Systems, 1, 98–110.
KRUSE, R., GEBHARDT, J., and KLAWONN, F. (1993): Fuzzy-Systeme. Teub- ner Stuttgart. (English translation: Foundations of Fuzzy Systems. Wiley, Chichester, 1994).
NAUCK, D., KLAWONN, F., and KRUSE, R. (1994): Neuronale Netze und Fuzzy Systeme: Grundlagen des Konnektionismus, Neuronaler Netze und der Kopplung mit wissensbasierten Methoden. Vieweg, Braunschweig.
TRILLAS, E., and VALVERDE, L. (1984): An Inquiry into Indistinguishability Operators. In: H.J. Skala, S. Termini, E. Trillas (eds.): Aspects of Vagueness. Reidel, Dordrecht, 231–256
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1996 Springer-Verlag Berlin · Heidelberg
About this paper
Cite this paper
Klawonn, F., Kruse, R. (1996). Clustering Methods in Fuzzy Control. In: Gaul, W., Pfeifer, D. (eds) From Data to Knowledge. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-79999-0_19
Download citation
DOI: https://doi.org/10.1007/978-3-642-79999-0_19
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-60354-2
Online ISBN: 978-3-642-79999-0
eBook Packages: Springer Book Archive