Interval-valued fuzzy observations in Bayes classifier

  • Authors:
  • Robert Burduk

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

  • Venue:
  • IDEAL'09 Proceedings of the 10th international conference on Intelligent data engineering and automated learning
  • Year:
  • 2009

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Abstract

The paper considers the problem of pattern recognition based on Bayes rule. In this model of classification, we use interval-valued fuzzy observations. The paper focuses on the probability of error on certain assumptions. A probability of misclassifications is derived for a classifier under the assumption that the features are class-conditionally statistically independent, and we have interval-valued fuzzy information on object features instead of exact information. Additionally, a probability of the interval-valued fuzzy event is represented by the real number as upper and lower probability. Numerical example concludes the work.