Levenberg Marquardt algorithm for the training of type-2 fuzzy neuro systems with a novel type-2 fuzzy membership function

Mojtaba Ahmadieh Khanesar*, Erdal Kayacan, Mohammad Teshnehlab, Okyay Kaynak

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

Abstract

A new training approach based on the Levenberg-Marquardt algorithm is proposed for type-2 fuzzy neural networks. While conventional gradient descent algorithms use only the first order derivative, the proposed algorithm used in this paper benefits from the first and the second order derivatives which makes the training procedure faster. Besides, this approach is more robust than the other techniques that use the second order derivatives, e.g. Gauss-Newton's method. The training algorithm proposed is tested on the training of a type-2 fuzzy neural network used for the prediction of a chaotic Mackey-Glass time series. The results show that the learning algorithm proposed not only results in faster training but also in a better forecasting accuracy.

Original languageEnglish
Title of host publicationIEEE SSCI 2011 : Symposium Series on Computational Intelligence - T2FUZZ 2011: 2011 IEEE Symposium on Advances in Type-2 Fuzzy Logic Systems
Number of pages6
Publication date2011
Pages88-93
Article number5949558
ISBN (Print)9781612840789
DOIs
Publication statusPublished - 2011
Externally publishedYes
EventSymposium Series on Computational Intelligence, IEEE SSCI 2011 - 2011 IEEE 1st Symposium on Advances in Type-2 Fuzzy Logic Systems, T2FUZZ 2011 - Paris, France
Duration: 11 Apr 201115 Apr 2011

Conference

ConferenceSymposium Series on Computational Intelligence, IEEE SSCI 2011 - 2011 IEEE 1st Symposium on Advances in Type-2 Fuzzy Logic Systems, T2FUZZ 2011
CountryFrance
CityParis
Period11/04/201115/04/2011
SponsorIEEE

Keywords

  • Levenberg-Marquardt algorithm
  • Mackey-Glass time series
  • Type-2 fuzzy neural networks

Cite this

Khanesar, M. A., Kayacan, E., Teshnehlab, M., & Kaynak, O. (2011). Levenberg Marquardt algorithm for the training of type-2 fuzzy neuro systems with a novel type-2 fuzzy membership function. In IEEE SSCI 2011: Symposium Series on Computational Intelligence - T2FUZZ 2011: 2011 IEEE Symposium on Advances in Type-2 Fuzzy Logic Systems (pp. 88-93). [5949558] https://doi.org/10.1109/T2FUZZ.2011.5949558