Abstract
In this paper, a new inference strategy applicable to redundant or contradictory fuzzy rules is introduced. Both characteristics result mainly from a data-based generation of fuzzy systems where linguistic hedges are used to get an abstract description and where different rules’ premises are overlapping. It is shown, that common fuzzy operators fail in these cases and that the newly introduced switching fuzzy operators solve these problems.
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References
E. B. Hunt, J. Marin, P. T. Stone: Experiments in Induction. Academic Press, New York, (1966)
A. Krone, H. Kiendl: Automatic generation of positive and negative rules for two-way fuzzy controllers. In Proc. 2nd Europ. Congr. on Intelligent Techniques and Soft Computing EUFIT’94, Aachen (1994) 438–442
M. Fritsch: Baumorientierte Regel-Induktionsstrategie für das ROSA-Verfahren zur Modellierung komplexer dynamischer Systeme. Fortschritt-Bericht VDI, Reihe 8, Nr. 565. VDI-Verlag, Düsseldorf, (1996)
L. Breiman, J. H. Friedman, R. A. Olshen, C. J. Stone: Classification and Regression Trees. Wadsworth, Belmont, Ca. (1984)
J. R. Quinlan: Induction of decision trees. Machine Learning 1 (1986) 81–106
J. Jäkel, L. Gröll, R. Mikut: Automatic generation and evaluation of interpretable rule bases for fuzzy systems. In Computational Intelligence for Modelling, Control and Automation CIMCA’99, IOS Press, Amsterdam (1999) 192–197
J. Jäkel, L. Gröll, R. Mikut: Tree-oriented hypothesis generation for interpretable fuzzy rules. In Proc. 7th Europ. Congr. on Intelligent Techniques and Soft Computing EUFIT’99, Aachen (1999)
J. Jäkel, L. Gröll, and R. Mikut: Bewertungsmaße zum Generieren von Fuzzy-Regeln unter Beachtung linguistisch motivierter Restriktionen. In Berichtsband 8. Workshop Fuzzy Control d. GMA-FA 5.22, Aachen (1998) 15–28
L. A. Zadeh: A fuzzy set theoretic interpretation of linguistic hedges. Journal of Cybernetics 2 (1972) 4–34
N. Sano, I. Koyauchi, H. Kadotani, R. Takahashi: Transformation of membership functions by hedge and primitive terms using the extension principle. In Proc. 5th Zittau Fuzzy Colloquium (1997) 13–16
G. J. Klir, B. Yuan: Fuzzy Sets and Fuzzy Logic: Theory and Applications. Prentice Hall, Upper Saddle River, NJ, (1995)
J. Jäkel, R. Mikut, H. Malberg, G. Bretthauer: Datenbasierte Regelsuche für Fuzzy-Systeme mittels baumorientierter Verfahren. In Berichtsband 9. Workshop Fuzzy Control d. GMA-FA 5.22, Dortmund (1999) 1–15
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Mikut, R., Jäkel, J., Gröll, L. (2000). Inference Methods for Partially Redundant Rule Bases. In: Hampel, R., Wagenknecht, M., Chaker, N. (eds) Fuzzy Control. Advances in Soft Computing, vol 6. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1841-3_13
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DOI: https://doi.org/10.1007/978-3-7908-1841-3_13
Publisher Name: Physica, Heidelberg
Print ISBN: 978-3-7908-1327-2
Online ISBN: 978-3-7908-1841-3
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