Estimations of the error in bayes classifier with fuzzy observations

  • Authors:
  • Robert Burduk

  • Affiliations:
  • Department of Systems and Computer Networks, Wroclaw University of Technology, Wroclaw, Poland

  • Venue:
  • ICCCI'11 Proceedings of the Third international conference on Computational collective intelligence: technologies and applications - Volume Part I
  • Year:
  • 2011

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Abstract

The paper presents the problem of the error estimation in the Bayes classifier. The model of pattern recognition with fuzzy or exact observations of features and the zero-one loss function was assumed. For this model of pattern recognition difference of the probability of error for exact and fuzzy data was demonstrated. Received results were compared to the bound on the probability of error based on information energy for fuzzy events. The paper presents that the bound on probability of an error based on information energy is very inaccurate.