On stability of group fuzzy classification algorithms

  • Authors:

  • M. B. Aidarkhanov;L. L. La

  • Affiliations:

  • Pattern Recognition and Decision Making, Institute of Problems of Informatics and Control, Pushkin Str. 125, Almaty 480100, Kazakhstan;Pattern Recognition and Decision Making, Institute of Problems of Informatics and Control, Pushkin Str. 125, Almaty 480100, Kazakhstan

  • Venue:
  • Pattern Recognition Letters
  • Year:
  • 2003

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Abstract

We introduce the definition of group fuzzy classification algorithm and the notion of (ε, δ)-stability for fuzzy classifiers. We prove the theorem that if initial algorithms are stable then so is the group fuzzy classification algorithm.