Type-2 fuzzy sets made simple

  • Authors:
  • J. M. Mendel;R. I.B. John

  • Affiliations:
  • Integrated Media Syst. Center, Univ. of Southern California, Los Angeles, CA;-

  • Venue:
  • IEEE Transactions on Fuzzy Systems
  • Year:
  • 2002

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Abstract

Type-2 fuzzy sets let us model and minimize the effects of uncertainties in rule-base fuzzy logic systems. However, they are difficult to understand for a variety of reasons which we enunciate. In this paper, we strive to overcome the difficulties by: (1) establishing a small set of terms that let us easily communicate about type-2 fuzzy sets and also let us define such sets very precisely, (2) presenting a new representation for type-2 fuzzy sets, and (3) using this new representation to derive formulas for union, intersection and complement of type-2 fuzzy sets without having to use the Extension Principle