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Classification Trees for Problems with Monotonicity Constraints

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Author Info
Potharst, R.
Feelders, A.J. (Erasmus Research Institute of Management (ERIM), RSM Erasmus University)
Abstract

For classification problems with ordinal attributes very often the class attribute should increase with each or some of the explaining attributes. These are called classification problems with monotonicity constraints. Classical decision tree algorithms such as CART or C4.5 generally do not produce monotone trees, even if the dataset is completely monotone. This paper surveys the methods that have so far been proposed for generating decision trees that satisfy monotonicity constraints. A distinction is made between methods that work only for monotone datasets and methods that work for monotone and non-monotone datasets alike.

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Paper provided by Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam. in its series Research Paper with number ERS-2002-45-LIS Revision_Date: 2008-05-14.

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Date of creation: 23 Apr 2002
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Handle: RePEc:dgr:eureri:2002192

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Keywords: monotone monotonicity constraint classification tree decision tree ordinal data

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Harrison, David Jr. & Rubinfeld, Daniel L., 1978. "Hedonic housing prices and the demand for clean air," Journal of Environmental Economics and Management, Elsevier, vol. 5(1), pages 81-102, March. [Downloadable!] (restricted)
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  1. Daniels, H. & Velikova, M., 2003. "Derivation of monotone decision models from non-monotone data," Discussion Paper 30, Tilburg University, Center for Economic Research. [Downloadable!]
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