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Handling Uncertain Attribute Values in Decision Tree Classifier Using the Belief Function Theory

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Artificial Intelligence: Methodology, Systems, and Applications (AIMSA 2016)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 9883))

Abstract

Decision trees are regarded as convenient machine learning techniques for solving complex classification problems. However, the major shortcoming of the standard decision tree algorithms is their unability to deal with uncertain environment. In view of this, belief decision trees have been introduced to cope with the case of uncertainty present in class’ value and represented within the belief function framework. Since in various real data applications, uncertainty may also appear in attribute values, we propose to develop in this paper another version of decision trees in a belief function context to handle the case of uncertainty present only in attribute values for both construction and classification phases.

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References

  1. Lichman, M.: UCI machine learning repository (2013). University of California, Irvine, School of Information and Computer Sciences. http://archive.ics.uci.edu/ml

  2. Breiman, L., Friedman, J., Olshen, R., Stone, C.: Classification and Regression Trees. Wadsworth and Brooks, Monterey (1984)

    MATH  Google Scholar 

  3. Elouedi, Z., Mellouli, K., Smets, P.: Classification with belief decision trees. In: Cerri, S.A., Dochev, D. (eds.) AIMSA 2000. LNCS (LNAI), vol. 1904, pp. 80–90. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  4. Elouedi, Z., Mellouli, K., Smets, P.: Belief decision trees: theoretical foundations. Int. J. Approximate Reasoning 28(2), 91–124 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  5. Hüllermeier, E.: Possibilistic induction in decision-tree learning. In: Elomaa, T., Mannila, H., Toivonen, H. (eds.) ECML 2002. LNCS (LNAI), vol. 2430, pp. 173–184. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  6. Jenhani, I., Amor, N.B., Elouedi, Z.: Decision trees as possibilistic classifiers. Int. J. Approximate Reasoning 48(3), 784–807 (2008)

    Article  Google Scholar 

  7. Jenhani, I., Elouedi, Z., Ben Amor, N., Mellouli, K.: Qualitative inference in possibilistic option decision trees. In: Godo, L. (ed.) ECSQARU 2005. LNCS (LNAI), vol. 3571, pp. 944–955. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  8. Quinlan, J.R.: Decision trees as probabilistic classifiers. In: 4th International Machine Learning, pp. 31–37 (1897)

    Google Scholar 

  9. Quinlan, J.R.: Induction of decision trees. Mach. Learn. 1(1), 81–106 (1986)

    Google Scholar 

  10. Quinlan, J.R.: C4. 5: Programs for Machine Learning. Elsevier, Amsterdam (2014)

    Google Scholar 

  11. Samet, A., Lefèvre, E., Yahia, S.B.: Evidential data mining: precise support and confidence. J. Intell. Inf. Syst. 47(1), 135–163 (2016). Springer

    Article  Google Scholar 

  12. Smets, P.: Application of the transferable belief model to diagnostic problems. Int. J. Intell. Syst. 13(2–3), 127–157 (1998)

    Article  MATH  Google Scholar 

  13. Smets, P.: The transferable belief model for quantified belief representation. In: Smets, P. (ed.) Quantified Representation of Uncertainty and Imprecision, pp. 267–301. Springer, Heidelberg (1998)

    Chapter  Google Scholar 

  14. Smets, P., Kennes, R.: The transferable belief model. Artif. Intell. 66(2), 191–234 (1994)

    Article  MathSciNet  MATH  Google Scholar 

  15. Umano, M., Okamoto, H., Hatono, I., Tamura, H., Kawachi, F., Umedzu, S., Kinoshita, J.: Fuzzy decision trees by fuzzy ID3 algorithm and its application to diagnosis systems. In: 3rd IEEE Conference on Fuzzy Systems, pp. 2113–2118. IEEE (1994)

    Google Scholar 

  16. Vannoorenberghe, P.: On aggregating belief decision trees. Inf. Fusion 5(3), 179–188 (2004)

    Article  Google Scholar 

  17. Vannoorenberghe, P., Denoeux, T.: Handling uncertain labels in multiclass problems using belief decision trees. In: IPMU 2002, vol. 3, pp. 1919–1926 (2002)

    Google Scholar 

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Correspondence to Asma Trabelsi .

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Trabelsi, A., Elouedi, Z., Lefevre, E. (2016). Handling Uncertain Attribute Values in Decision Tree Classifier Using the Belief Function Theory. In: Dichev, C., Agre, G. (eds) Artificial Intelligence: Methodology, Systems, and Applications. AIMSA 2016. Lecture Notes in Computer Science(), vol 9883. Springer, Cham. https://doi.org/10.1007/978-3-319-44748-3_3

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  • DOI: https://doi.org/10.1007/978-3-319-44748-3_3

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-44747-6

  • Online ISBN: 978-3-319-44748-3

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