An efficient centroid type-reduction strategy for general type-2 fuzzy logic system

  • Authors:

  • Feilong Liu

  • Affiliations:

  • Signal and Image Processing Institute, Department of Electrical Engineering, University of Southern California, 3740 McClintock Avenue, Los Angeles, CA 90089-2564, United States

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2008

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Abstract

In this paper, an efficient centroid type-reduction strategy for general type-2 fuzzy set is introduced. This strategy makes use of the result of @a-plane representation, and performs the centroid type-reduction on each @a-plane. Simulations show that it usually needs only several resolution of @a value such that the defuzzified value converges to a real value. Consequently, comparing with the exhaustive computation approach, this approach can tremendously decrease the computation complexity from exponential into linear.