FUZZY REASONING MODELS AND ALGORITHMS ON TYPE-2 FUZZY SETS

被引:0
作者
Wang, Tao [1 ]
Chen, Yang [1 ]
Tong, Shaocheng [1 ]
机构
[1] Liaoning Univ Technol, Dept Math & Phys, Jinzhou 121001, Peoples R China
来源
INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL | 2008年 / 4卷 / 10期
关键词
Type-2 fuzzy sets; Type-2 fuzzy inference models; Fuzzy reasoning algorithms; Monotonicity;
D O I
暂无
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This paper investigates three Type-2 fuzzy inference models and gives fuzzy reasoning algorithms under the framework of type-1 Mamdani fuzzy reasoning algorithm. It is proved that the proposed Type-2 fuzzy reasoning algorithms are the extensions of type-1Mamdani fuzzy reasoning algorithms and have some properties of Monotonicity. The sketch maps of the inferences are developed to illustrate the functions of the proposed reasoning algorithms.
引用
收藏
页码:2451 / 2460
页数:10
相关论文
共 14 条
[1]  
Dubois D., 1980, FUZZY SET SYST
[2]   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
[3]   Type 2 fuzzy sets: An appraisal of theory and applications [J].
John, RI .
INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 1998, 6 (06) :563-576
[4]   Type-2 fuzzy logic systems [J].
Karnik, NN ;
Mendel, JM ;
Liang, QL .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 1999, 7 (06) :643-658
[5]  
Li SY, 2006, INT J INNOV COMPUT I, V2, P1197
[6]   Interval type-2 fuzzy logic systems: Theory and design [J].
Liang, QL ;
Mendel, JM .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2000, 8 (05) :535-550
[7]   Uncertainty, fuzzy logic, and signal processing [J].
Mendel, JM .
SIGNAL PROCESSING, 2000, 80 (06) :913-933
[8]   Type-2 fuzzy sets made simple [J].
Mendel, JM ;
John, RI .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2002, 10 (02) :117-127
[9]  
Mendel JM., 2001, Uncertain Rule-Based Fuzzy Systems: Introduction and New Directions
[10]   SOME PROPERTIES OF FUZZY SETS OF TYPE-2 [J].
MIZUMOTO, M ;
TANAKA, K .
INFORMATION AND CONTROL, 1976, 31 (04) :312-340