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Design of Interval Type-2 Fuzzy Relation-Based Neuro-Fuzzy Networks for Nonlinear Process

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Part of the book series: Communications in Computer and Information Science ((CCIS,volume 339))

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.

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References

  1. 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)

    Google Scholar 

  2. Buckley, J.J., Hayashi, Y.: Fuzzy neural networks: A survey. Fuzzy Sets Syst. 66, 1–13 (1994)

    Article  MathSciNet  Google Scholar 

  3. Zadeh, L.A.: The concept of a linguistic variable and its application to approximate reasoning-I. Information Science 8, 199–249 (1975)

    Article  MathSciNet  MATH  Google Scholar 

  4. Mizumoto, M., Tanaka, K.: Some Properties of Fuzzy Sets of Type-2. Information and Control 31, 312–340 (1976)

    Article  MathSciNet  MATH  Google Scholar 

  5. Karnik, N., Mendel, J., Liang, Q.: Type-2 Fuzzy Logic Systems. IEEE Trans. on Fuzzy Systems 7, 643–658 (1999)

    Article  Google Scholar 

  6. Liang, Q., Mendel, J.: Interval Type-2 Fuzzy Logic Systems: Theory and Design. IEEE Trans. on Fuzzy Systems 8, 535–550 (2000)

    Article  Google Scholar 

  7. Mendel, J.M.: Uncertain Rule-Based Fuzzy Logic Systems: Introduction and New Directions. Prentice-Hall, NJ (2001)

    MATH  Google Scholar 

  8. Golderg, D.E.: Genetic Algorithm in search, Optimization & Machine Learning. Addison wesley (1989)

    Google Scholar 

  9. Box, G.E.P., Jenkins, G.M.: Time Series Analysis: Forecasting and Control, 2nd edn. Holden-Day, San Francisco (1976)

    MATH  Google Scholar 

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© 2012 Springer-Verlag Berlin Heidelberg

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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

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  • 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)

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