Type-2 fuzzy sets made simple

被引:1732
作者
Mendel, JM [1 ]
John, RI
机构
[1] Univ So Calif, Integrated Media Syst Ctr, Los Angeles, CA 90089 USA
[2] De Montfort Univ, Fac Comp Sci & Engn, Dept Comp Sci, Ctr Computat Intelligence, Leicester LE1 9BH, Leics, England
关键词
type-2 fuzzy logic systems; type-2 fuzzy sets;
D O I
10.1109/91.995115
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
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.
引用
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页码:117 / 127
页数:11
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