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A novel approach to cutting decision trees

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  • Fadime Üney-Yüksektepe

Abstract

In data mining, binary classification has a wide range of applications. Cutting Decision Tree (CDT) induction is an efficient mathematical programming based method that tries to discretize the data set on hand by using multiple separating hyperplanes. A new improvement to CDT model is proposed in this study by incorporating the second goal of maximizing the distance of the correctly classified instances to the misclassification region. Computational results show that developed model achieves better classification accuracy for Wisconsin Breast Cancer database and Japanese Banks data set when compared to existing piecewise-linear models in literature. Furthermore, remarkable results are obtained for the well-known benchmarking data sets (Buba Liver Disorders, Blood Tranfusion and Pima Indian Diabetes) when compared to the original CDT model. Copyright Springer-Verlag Berlin Heidelberg 2014

Suggested Citation

  • Fadime Üney-Yüksektepe, 2014. "A novel approach to cutting decision trees," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 22(3), pages 553-565, September.
  • Handle: RePEc:spr:cejnor:v:22:y:2014:i:3:p:553-565
    DOI: 10.1007/s10100-013-0312-9
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    References listed on IDEAS

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    1. Sueyoshi, Toshiyuki, 2001. "Extended DEA-Discriminant Analysis," European Journal of Operational Research, Elsevier, vol. 131(2), pages 324-351, June.
    2. Sueyoshi, Toshiyuki & Goto, Mika, 2009. "Methodological comparison between DEA (data envelopment analysis) and DEA-DA (discriminant analysis) from the perspective of bankruptcy assessment," European Journal of Operational Research, Elsevier, vol. 199(2), pages 561-575, December.
    3. J J Glen, 1999. "Integer programming methods for normalisation and variable selection in mathematical programming discriminant analysis models," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 50(10), pages 1043-1053, October.
    4. Freed, Ned & Glover, Fred, 1981. "Simple but powerful goal programming models for discriminant problems," European Journal of Operational Research, Elsevier, vol. 7(1), pages 44-60, May.
    5. Abad, P. L. & Banks, W. J., 1993. "New LP based heuristics for the classification problem," European Journal of Operational Research, Elsevier, vol. 67(1), pages 88-100, May.
    6. Onur Dagliyan & Fadime Uney-Yuksektepe & I Halil Kavakli & Metin Turkay, 2011. "Optimization Based Tumor Classification from Microarray Gene Expression Data," PLOS ONE, Public Library of Science, vol. 6(2), pages 1-10, February.
    7. Uney, Fadime & Turkay, Metin, 2006. "A mixed-integer programming approach to multi-class data classification problem," European Journal of Operational Research, Elsevier, vol. 173(3), pages 910-920, September.
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