Estimating fuzzy membership functions parameters by the Levenberg-Marquardt algorithm

In previous papers from the authors fuzzy model identification methods were discussed. The bacterial algorithm for extracting fuzzy rule base from a training set was presented. The Levenberg-Marquardt algorithm was also proposed for determining membership functions in fuzzy systems. In this paper th...

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Bibliographic Details
Main Author: Botzheim, J. (author)
Other Authors: Cabrita, Cristiano Lourenço (author), Kóczy, László T. (author), Ruano, Antonio (author)
Format: conferenceObject
Language:eng
Published: 2013
Online Access:http://hdl.handle.net/10400.1/2263
Country:Portugal
Oai:oai:sapientia.ualg.pt:10400.1/2263
Description
Summary:In previous papers from the authors fuzzy model identification methods were discussed. The bacterial algorithm for extracting fuzzy rule base from a training set was presented. The Levenberg-Marquardt algorithm was also proposed for determining membership functions in fuzzy systems. In this paper the Levenberg-Marquardt technique is improved to optimise the membership functions in the fuzzy rules without Ruspini-partition. The class of membership functions investigated is the trapezoidal one as it is general enough and widely used. The method can be easily extended to arbitrary piecewise linear functions as well.