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Learning Rule for TSK Fuzzy Logic Systems Using Interval Type-2 Fuzzy Subtractive Clustering

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Simulated Evolution and Learning (SEAL 2012)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7673))

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Abstract

The paper deals with an approach to model TSK fuzzy logic systems (FLS), especially interval type-2 TSK FLS, using interval type-2 fuzzy subtractive clustering (IT2-SC). The IT2-SC algorithm is combined with least square estimation (LSE) algorithms to pre-identify a type-1 FLS form from input/output data. Then, an interval type-2 TSK FLS can be obtained by considering the membership functions of its existed type-1 counterpart as primary membership functions and assigning uncertainty to cluster centroids, standard deviation of Gaussian membership functions and consequence parameters. Results is shown in comparison with the approach based on type-1 subtractive clustering algorithm.

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References

  1. Mendel, J., John, R.: Type-2 fuzzy set made simple. IEEE Trans. on Fuzzy Systems 10(2), 117–127 (2002)

    Article  Google Scholar 

  2. Karnik, N., Mendel, J.M.: Operations on Type-2 Fuzzy Sets, Fuzzy Sets and Systems, vol. 122, pp. 327–348 (2001)

    Google Scholar 

  3. Mendel, J.M., John, R.I., Liu, F.: Interval Type-2 Fuzzy Logic Systems Made Simple. IEEE Trans. on Fuzzy Systems 14(6), 808–821 (2006)

    Article  Google Scholar 

  4. Chiu, S.L.: Fuzzy Model Identification Based on Cluster Estimation. Journal on Intelligent Fuzzy Systems 2, 267–278 (1994)

    Google Scholar 

  5. Chiu, S.L.: Extracting Fuzzy Rules from Data for Function Approximation and Pattern Classification. In: Dubois, H., Prade, R., Yager, R. (eds.) Fuzzy Information Engineering: A Guided Tour of Applications. John Wiley & Sons (1997)

    Google Scholar 

  6. Takagi, T., Sugeno, M.: Fuzzy identification of systems and its applications to modeling and control. IEEE Trans. on Sys., Man, and Cyb. 15(1), 116–132 (1985)

    Article  MATH  Google Scholar 

  7. Sugeno, M., Kang, G.: Structure identification of fuzzy model. Fuzzy Sets and Systems 28(1), 15–33 (1988)

    Article  MathSciNet  MATH  Google Scholar 

  8. Ren, Q., Baron, L., Balazinski, M., Jemielniak, K.: Tool condition monitoring using the TSK fuzzy approach based on subtractive clustering method. News Frontiers in Applied Artificial Intelligence, pp. 52–61. Springer, Berlin (2008)

    Google Scholar 

  9. Ren, Q., Baron, L., Balazinski, M.: Type-2 Takagi-Sugeno-Kang fuzzy logic modeling using subtractive clustering. In: Proceedings of the NAFIPS, pp. 1–6 (2006)

    Google Scholar 

  10. Ren, Q., Baron, L., Balazinski, M.: Uncertainty prediction for tool wear condition using type-2 TSK fuzzy approach. In: Proceeding of the 2009 IEEE Int’ Conf. on Systems, Man, and Cybernetics (IEEE-SMC 2009), pp. 666–671 (2009)

    Google Scholar 

  11. Takagi, T., Sugeno, M.: Fuzzy identification of systems and its applications to modeling and control. IEEE Trans. on Sys., Man, and Cyb. 15(1), 116–132 (1985)

    Article  MATH  Google Scholar 

  12. Zhang, W.B., Liu, W.J.: IFCM: Fuzzy Clustering for Rule Extraction of Interval Type-2 Fuzzy Logic System. In: The 46th IEEE Conf. on Decs. & Control, pp. 5318–5322 (2007)

    Google Scholar 

  13. Demirli, K., Muthukumaran, P.: Higher Order Fuzzy System identification Using Subtractive Clustering. J. of Intelligent and Fuzzy Systems 9, 129–158 (2000)

    Google Scholar 

  14. Demirli, K., Cheng, S.X., Muthukumaran, P.: Subtractive Clustering Based on Modeling of Job Sequencing with Parametric Search. Fuzzy Sets and Systems 137, 235–270 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  15. Ngo, L.T., Pham, B.H.: Approach to Image Segmentation Based on Interval Type-2 Fuzzy Subtractive Clustering. In: Horng, M.-F. (ed.) ACIIDS 2012, Part II. LNCS, vol. 7197, pp. 1–10. Springer, Heidelberg (2012)

    Google Scholar 

  16. Liang, Q., Mendel, J.M.: An Introduction to Type-2 TSK Fuzzy Logic Systems. In: IEEE International Conference on Fuzzy Systems, vol. 3, pp. 1534–1539 (1999)

    Google Scholar 

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© 2012 Springer-Verlag Berlin Heidelberg

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Pham, B.H., Ha, H.T., Ngo, L.T. (2012). Learning Rule for TSK Fuzzy Logic Systems Using Interval Type-2 Fuzzy Subtractive Clustering. In: Bui, L.T., Ong, Y.S., Hoai, N.X., Ishibuchi, H., Suganthan, P.N. (eds) Simulated Evolution and Learning. SEAL 2012. Lecture Notes in Computer Science, vol 7673. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34859-4_43

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  • DOI: https://doi.org/10.1007/978-3-642-34859-4_43

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-34858-7

  • Online ISBN: 978-3-642-34859-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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