Abstract
In this paper, we introduce the design of interval type-2 fuzzy relation-based neuro-fuzzy networks (IT2FRNFN) for modeling nonlinear process. IT2FRNFN is the network of combination between the neuro-fuzzy network (NFN) and interval type-2 fuzzy set with uncertainty. The premise part of the network is composed of the fuzzy relation division of input space and the consequence part of the network is represented by polynomial functions with interval set. And we also consider genetic algorithms to determine the structure and estimate the values of the parameters. The proposed network is evaluated with the nonlinear process.
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
Yamakawa, T.: A Neo Fuzzy Neuron and Its Application to System Identification and Prediction of the System Behavior. In: Proceeding of the 2nd International Conference on Fuzzy Logic & Neural Networks, pp. 447–483 (1992)
Buckley, J.J., Hayashi, Y.: Fuzzy neural networks: A survey. Fuzzy Sets Syst. 66, 1–13 (1994)
Zadeh, L.A.: The concept of a linguistic variable and its application to approximate reasoning-I. Information Science 8, 199–249 (1975)
Mizumoto, M., Tanaka, K.: Some Properties of Fuzzy Sets of Type-2. Information and Control 31, 312–340 (1976)
Karnik, N., Mendel, J., Liang, Q.: Type-2 Fuzzy Logic Systems. IEEE Trans. on Fuzzy Systems 7, 643–658 (1999)
Liang, Q., Mendel, J.: Interval Type-2 Fuzzy Logic Systems: Theory and Design. IEEE Trans. on Fuzzy Systems 8, 535–550 (2000)
Mendel, J.M.: Uncertain Rule-Based Fuzzy Logic Systems: Introduction and New Directions. Prentice-Hall, NJ (2001)
Golderg, D.E.: Genetic Algorithm in search, Optimization & Machine Learning. Addison wesley (1989)
Box, G.E.P., Jenkins, G.M.: Time Series Analysis: Forecasting and Control, 2nd edn. Holden-Day, San Francisco (1976)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Lee, DY., Park, KJ. (2012). Design of Interval Type-2 Fuzzy Relation-Based Neuro-Fuzzy Networks for Nonlinear Process. In: Kim, Th., et al. Computer Applications for Security, Control and System Engineering. Communications in Computer and Information Science, vol 339. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35264-5_45
Download citation
DOI: https://doi.org/10.1007/978-3-642-35264-5_45
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-35263-8
Online ISBN: 978-3-642-35264-5
eBook Packages: Computer ScienceComputer Science (R0)