Efficient triangular type-2 fuzzy logic systems

  • Authors:
  • Janusz T. Starczewski

  • Affiliations:
  • Department of Computer Engineering, Czestochowa University of Technology, Al. Armii Krajowej 36, 42-200 Czestochowa, Poland

  • Venue:
  • International Journal of Approximate Reasoning
  • Year:
  • 2009

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Abstract

In this study, an efficient fuzzy logic system (FLS) based on triangular type-2 fuzzy sets is designed. In detail, this paper provides a new method for computational complexity reduction in t-norm operations extended on triangular type-2 fuzzy sets. It is demonstrated that our approximate extended t-norms for arguments with triangular membership functions (MFs) satisfy axiomatics of the type-2 t-norm. A new efficient approximate iterative procedure based on the K-M type-reduction is proposed in order to develop triangular type-2 FLSs. The utility of triangular type-2 FLSs in approximate reasoning is illustrated by numerical examples.