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A New Cluster Based Fuzzy Model Tree for Data Modeling

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Rough Sets, Fuzzy Sets, Data Mining and Granular Computing (RSFDGrC 2007)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4482))

Abstract

This paper proposes a fuzzy model tree, so-called c-fuzzy model tree, consisting of local linear models using fuzzy cluster for data modeling. Cluster centers are calculated by fuzzy clustering method using all input and output attributes. And then, linear models are constructed at internal nodes with fuzzy membership grades between centers and input attributes. The expansion of internal node is determined by comparing the error calculated at the parent node with the sum of ones at the child nodes. On the other hand, data prediction is performed with the linear model having the highest fuzzy membership value between input attributes and cluster centers at the leaf nodes. To show the effectiveness of the proposed method, we have applied this method to real world data set. We found that the proposed method showed better performance than the widely used methods, such as model tree and artificial neural networks.

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References

  1. Setiono, R., Thong, J.Y.L.: An approach to generate rules from neural networks for regression problems. European Journal of Operational Research 155, 239–250 (2004)

    Article  MATH  Google Scholar 

  2. Pedrycz, W., Sosnowski, Z.A.: The design of decision trees in the framework of granular data and their application to software quality models. Fuzzy Sets and Systems 123, 271–290 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  3. Quinlan, J.R.: Learning with continuous classes. In: Adams, A., Sterling, L. (eds.) Proceedings AI’92, pp. 343–348. World Scientific, Singapore (1992)

    Google Scholar 

  4. Wang, Y., Witten, I.H.: Inducing Model Trees for Continuous Classes. In: van Someren, M., Widmer, G. (eds.) ECML 1997. LNCS, vol. 1224, pp. 128–137. Springer, Heidelberg (1997)

    Google Scholar 

  5. Malerba, D., et al.: Stepwise Induction of Model Trees. In: Esposito, F. (ed.) AI*IA 2001. LNCS (LNAI), vol. 2175, pp. 20–32. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  6. Pedrycz, W., Sosnowski, Z.A.: C-Fuzzy Decision Tress. IEEE Trans. Systems, Man, and Cybernetics, C: Applications and Reviews 35(4), 498–511 (2005)

    Article  Google Scholar 

  7. Bhattacharya, B., Solomatine, D.P.: Machine learning in sedimentation modeling. Neural Networks 19, 208–214 (2006)

    Article  MATH  Google Scholar 

  8. Bhattacharya, B., Solomatine, D.P.: Neural networks and M5 model trees in modelling water level-discharge relationship. Neurocomputing 63, 381–396 (2005)

    Article  Google Scholar 

  9. Slolmatine, D.P., Siek, M.B.: Modular learning models in forecasting natural phenomena. Neural Networks 19, 215–224 (2006)

    Article  MATH  Google Scholar 

  10. Mendonca, L.F., et al.: Decision tree search methods in fuzzy modeling and classification. International Journal of Approximate Reasoning 44, 106–123 (2007)

    Article  MathSciNet  Google Scholar 

  11. Witten, I.H., Frank, E.: DATA MININING-Practical machine learning tools and techniques. Morgan Kaufmann, San Francisco (2005)

    MATH  Google Scholar 

  12. Huang, G.B., Zhu, Q.Y., Siew, C.K.: Extreme learning machine: Theory and applications. Neurocomputing 70, 489–501 (2006)

    Article  Google Scholar 

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© 2007 Springer-Verlag Berlin Heidelberg

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Lee, DJ., Park, SY., Jung, NC., Chun, MG. (2007). A New Cluster Based Fuzzy Model Tree for Data Modeling. In: An, A., Stefanowski, J., Ramanna, S., Butz, C.J., Pedrycz, W., Wang, G. (eds) Rough Sets, Fuzzy Sets, Data Mining and Granular Computing. RSFDGrC 2007. Lecture Notes in Computer Science(), vol 4482. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72530-5_26

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  • DOI: https://doi.org/10.1007/978-3-540-72530-5_26

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-72529-9

  • Online ISBN: 978-3-540-72530-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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