Abstract
This paper presents a method of using the so-called “bacterial algorithm” [4, 5] for extracting the rules of a fuzzy system. The class of membership functions is restricted to trapezoidal, as it is general enough and widely used. The algorithm contains the bacterial mutation step allowing both the change of more than one membership function at one time, and the fine-tuning. Further operators are applied for optimising the number of rules in the base, eliminating ineffective rules and contract similar rules into a single one.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
L.A. Zadeh: Outline of a new approach to the analysis of complex systems and decision processes, IEEE Tr. Systems, Man and Cybernetics 3 (1973), pp. 28–44.
J.H. Holland: Adaptation in Nature and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence, MIT Press, Cambridge, 1992.
L.J. Fogel, A.J. Owens, and M.J. Walsh: Artificial Intelligence through Simulated Evolution, Wiley, New York, 1966.
M. Salmeri, M. Re, E. Petrongari, and G.C. Cardarilli: A Novel Bacterial Algorithm to Extract the Rule Base from a Training Set, Dept. of Electronic Engineering, University of Rome, 1999.
N.E. Nawa, and T. Furuhashi: Fuzzy System Parameters Discovery by Bacterial Evolutionary Algorithm, IEEE Tr. Fuzzy Systems 7 (1999), pp. 608–616.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Botzheim, J., Hámori, B., Kóczy, L.T. (2001). Extracting Trapezoidal Membership Functions of a Fuzzy Rule System by Bacterial Algorithm. In: Reusch, B. (eds) Computational Intelligence. Theory and Applications. Fuzzy Days 2001. Lecture Notes in Computer Science, vol 2206. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45493-4_25
Download citation
DOI: https://doi.org/10.1007/3-540-45493-4_25
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-42732-2
Online ISBN: 978-3-540-45493-9
eBook Packages: Springer Book Archive