Title :
Type-2 fuzzy sets made simple
Author :
Mendel, Jerry M. ; John, Robert I Bob
Author_Institution :
Integrated Media Syst. Center, Univ. of Southern California, Los Angeles, CA, USA
fDate :
4/1/2002 12:00:00 AM
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
Keywords :
fuzzy logic; fuzzy set theory; complement; fuzzy set representation; intersection; membership function; rule-base fuzzy logic systems; type-2 fuzzy sets; uncertainties minimization; union; Computational intelligence; Computer science; Data mining; Fuzzy logic; Fuzzy sets; Histograms; Uncertainty;
Journal_Title :
Fuzzy Systems, IEEE Transactions on
