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Fundamentals for Design and Construction of a Fuzzy Random Forest

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Foundations of Reasoning under Uncertainty

Abstract

Following Breiman’s methodology, we propose the fundamentals to design and construct a “forest” of randomly generated fuzzy decision trees, i.e., a Fuzzy Random Forest. This approach combines the robustness of multi-classifiers, the construction efficiency of decision trees, the power of the randomness to increase the diversity of the trees in the forest, and the flexibility of fuzzy logic and the fuzzy sets for data managing. A prototype for the method has been constructed and we have implemented some specific strategies for inference in the Fuzzy Random Forest. Some experimental results are given.

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References

  1. Ahn, H., Moon, H., Fazzari, J., Lim, N., Chen, J., Kodell, R.: Classification by ensembles from random partitions of high dimensional data. Computational Statistics and Data Analysis 51, 6166–6179 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  2. Asuncion, A., Newman, D.J.: UCI Machine Learning Repository. University of California, School of Information and Computer Science, Irvine, CA (2007), http://www.ics.uci.edu/~mlearn/MLRepository.html

  3. Breiman, L.: Bagging predictors. Machine Learning 24(2), 123–140 (1996)

    MATH  MathSciNet  Google Scholar 

  4. Breiman, L.: Random forests. Machine Learning 45(1), 5–32 (2001)

    Article  MATH  Google Scholar 

  5. Cadenas, J.M., Garrido, M.C., Díaz-Valladares, R.A.: Hacia el Diseño y Construcción de un Fuzzy Random Forest. In: Proceedings of the II Simposio sobre Lógica Fuzzy y Soft Computing, pp. 41–48 (2007)

    Google Scholar 

  6. Cadenas, J.M., Garrido, M.C., Martinez España, R.: Generando etiquetas linguísticas: Un árbol de particiones. TR - DIIC 2/08, 1–20 (2008)

    Google Scholar 

  7. Debuse, J.C.W., Rayward-Smith, V.J.: Discretisation of Continuous Commercial Database Features for a Simulated Annealing Data Mining Algorithm. Applied Intelligence 11, 285–295 (1999)

    Article  Google Scholar 

  8. Dietterich, T.G.: An experimental comparison of three methods for constructing ensembles of decision trees: bagging, boosting, and randomization. Machine Learning 40(2), 139–157 (2000)

    Article  Google Scholar 

  9. Dougherty, J., Kohavi, R., Sahami, M.: Supervised and unsupervised discretization of continuous features. In: Proceedings of the Twelfth International Conference on Machine Learning, pp. 194–202 (1995)

    Google Scholar 

  10. Hamza, M., Larocque, D.: An empirical comparison of ensemble methods based on classification trees. Statistical Computati. & Simulation 75(8), 629–643 (2005)

    Article  MATH  Google Scholar 

  11. Ho, T.K.: The random subspace method for constructing decision forests. Transactions on Pattern Analysis and Machine Intelligence 20(8), 832–844 (1998)

    Article  Google Scholar 

  12. Hothorn, T., Lausen, B.: Double-bagging: combining classifiers by bootstrap aggregation. Pattern Recognition 36(6), 1303–1309 (2003)

    Article  MATH  Google Scholar 

  13. Jang, J.: Structure determination in fuzzy modeling: A Fuzzy CART approach. In: Proceedings of the IEEE Conference on Fuzzy Systems, pp. 480–485 (1994)

    Google Scholar 

  14. Janikow, C.Z.: Fuzzy decision trees: issues and methods. Transaction on Systems, Man and Cybernetics, Part B 28(1), 1–15 (1998)

    Article  Google Scholar 

  15. Koen-Myung, L., Kyung-Mi, L., Jee-Hyong, L., Hyung, L.: A Fuzzy Decision Tree Induction Method for Fuzzy Data. In: Proceedings of the IEEE Conference on Fuzzy Systems, pp. 22–25 (1999)

    Google Scholar 

  16. Kuncheva, L.I.: A theorical study on six classifier fusion strategies. IEEE Transaction on PAMI 24(2), 281–286 (2002)

    Google Scholar 

  17. Kuncheva, L.I.: Fuzzy vs Non-fuzzy in combining classifiers designed by boosting. IEEE Transactions on Fuzzy Systems 11(6), 729–741 (2003)

    Article  Google Scholar 

  18. Kuncheva, L.I.: Combining Pattern Classifiers - Methods and Algorithms. John Wiley and Sons, New Jersey (2004)

    Book  MATH  Google Scholar 

  19. Martínez-Muñoz, G., Suárez, A.: Switching class labels to generate classification ensembles. Pattern Recognition 38(10), 1483–1494 (2005)

    Article  Google Scholar 

  20. Rodríguez, J.J., Kuncheva, L.I., Alonso, C.J.: Rotation Forest: A new classifier ensemble method. IEEE Transactions on Pattern Analysis and Machine Intelligence 28(10), 1619–1630 (2006)

    Article  Google Scholar 

  21. Schapire, R.E.: The strength of weak learnability. Machine Learning 5(2), 197–227 (1990)

    Google Scholar 

  22. Segrera, S., Moreno, M.: An Experimental Comparative Study of Web Mining Methods for Recommender Systems. In: Proceedings of the 6th WSEAS Intern. Conference on Distance Learning and Web Engineering, pp. 56–61 (2006)

    Google Scholar 

  23. Witten, I.H., Frank, E.: Data Mining - Practical machine learning tools and techniques, 2nd edn. Morgan Kaufmann, San Francisco (2005)

    MATH  Google Scholar 

  24. Wolpert, D.: Stacked Generalization. Neural Networks 5, 241–259 (1992)

    Article  Google Scholar 

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Bonissone, P.P., Cadenas, J.M., del Carmen Garrido, M., Díaz-Valladares, R.A. (2010). Fundamentals for Design and Construction of a Fuzzy Random Forest. In: Bouchon-Meunier, B., Magdalena, L., Ojeda-Aciego, M., Verdegay, JL., Yager, R.R. (eds) Foundations of Reasoning under Uncertainty. Studies in Fuzziness and Soft Computing, vol 249. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10728-3_2

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  • DOI: https://doi.org/10.1007/978-3-642-10728-3_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-10726-9

  • Online ISBN: 978-3-642-10728-3

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