Upper entropy of credal sets. Applications to credal classification

  • Authors:
  • Joaquín Abellán;Serafín Moral

  • Affiliations:
  • Dpto. Ciencias de la Computación, Universidad de Granada, Granada 18071, Spain;Dpto. Ciencias de la Computación, Universidad de Granada, Granada 18071, Spain

  • Venue:
  • International Journal of Approximate Reasoning
  • Year:
  • 2005

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Abstract

We present an application of the measure of entropy for credal sets: as a branching criterion for constructing classification trees based on imprecise probabilities which are determined with the imprecise Dirichlet model. We also justify the use of upper entropy as a global uncertainty measure for credal sets and present a deduction of this measure. We have carried out several experiments in which credal classification trees are built taking a global uncertainty measure as a basis. The results show how the introduced methodology improves the performance of traditional methods (Naive Bayes and C4.5), by providing a much lower error rate.