Title :
A fundamental decomposition of type-2 fuzzy sets
Author :
Mendel, Jerry M. ; John, Robert I.
Author_Institution :
Integrated Media Syst. Center, Univ. of Southern California, Los Angeles, CA, USA
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. 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, and (2) presenting a new representation for type-2 fuzzy sets. This new representation can be used 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; knowledge based systems; knowledge representation; uncertainty handling; complement; intersection; rule-base fuzzy logic systems; type-2 fuzzy sets; uncertainties; union; Computational intelligence; Data mining; Fuzzy logic; Fuzzy sets; Histograms; Mobile communication; Noise measurement; Signal to noise ratio; Time varying systems; Uncertainty;
Conference_Titel :
IFSA World Congress and 20th NAFIPS International Conference, 2001. Joint 9th
Conference_Location :
Vancouver, BC
Print_ISBN :
0-7803-7078-3
DOI :
10.1109/NAFIPS.2001.944356
