Type-2 fuzzy sets made simple

被引：1757
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
来源：
IEEE TRANSACTIONS ON FUZZY SYSTEMS | 2002年 / 10卷 / 02期
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
收藏
页码：117 / 127
页数：11
相关论文
共 42 条
[1]   Mathematical analysis of interval-valued fuzzy relations: Application to approximate reasoning [J].
Bustince, H ;
Burillo, P .
FUZZY SETS AND SYSTEMS, 2000, 113 (02) :205-219
[2]  
CHANEAU JL, 1987, ANAL FUZZY INFORMATI, V2
[3]   Fuzzy information in extended fuzzy relational databases [J].
Chiang, DA ;
Chow, LR ;
Hsien, NC .
FUZZY SETS AND SYSTEMS, 1997, 92 (01) :1-20
[4]   OPERATIONS IN A FUZZY-VALUED LOGIC [J].
DUBOIS, D ;
PRADE, H .
INFORMATION AND CONTROL, 1979, 43 (02) :224-240
[5]   OPERATIONS ON FUZZY NUMBERS [J].
DUBOIS, D ;
PRADE, H .
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1978, 9 (06) :613-626
[6]  
Dubois D.J., 1980, FUZZY SETS SYSTEMS T
[7]   A METHOD OF INFERENCE IN APPROXIMATE REASONING BASED ON INTERVAL-VALUED FUZZY-SETS [J].
GORZALCZANY, MB .
FUZZY SETS AND SYSTEMS, 1987, 21 (01) :1-17
[8]   THE IF THEN ELSE STATEMENT AND INTERVAL-VALUED FUZZY-SETS OF HIGHER TYPE [J].
HISDAL, E .
INTERNATIONAL JOURNAL OF MAN-MACHINE STUDIES, 1981, 15 (04) :385-455
[9]  
Izumi K., 1983, Transactions of the Institute of Electronics and Communication Engineers of Japan, Part D, VJ66D, P1107
[10]  
John RI, 1997, PROCEEDINGS OF THE SIXTH IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, VOLS I - III, P1375, DOI 10.1109/FUZZY.1997.619744
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