Triple I method of fuzzy reasoning

被引:93
作者
Song, SJ
Feng, CB
Lee, ES [1 ]
机构
[1] Tsing Hua Univ, Dept Automat, Beijing 100084, Peoples R China
[2] SE Univ, Res Inst Automat, Nanjing 210096, Peoples R China
[3] Kansas State Univ, Dept Ind & Mfg Syst Engn, Manhattan, KS 66506 USA
关键词
fuzzy reasoning; triple I method; Zadeh's implication operator;
D O I
10.1016/S0898-1221(02)00279-1
中图分类号
O29 [应用数学];
学科分类号
070104 [应用数学];
摘要
The theory of the triple I method with total inference rules of fuzzy reasoning is investigated by using Zadeh's implication operator R. The computational formulae for both fuzzy modus ponens (FMP) and fuzzy modus tollens (FMT) are obtained. The reversibility properties for, FMP and FMT are analyzed and the reversibility criteria are given. We also investigated the generalized problem of the triple I method and obtained the formulae for the a-triple I FMP and the alpha-triple I FMT. (C) 2002 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:1567 / 1579
页数:13
相关论文
共 12 条
[1]
CAN APPROXIMATE REASONING BE CONSISTENT [J].
BUCKLEY, JJ ;
HAYASHI, Y .
FUZZY SETS AND SYSTEMS, 1994, 65 (01) :13-18
[2]
FUZZY-SETS IN APPROXIMATE REASONING .1. INFERENCE WITH POSSIBILITY DISTRIBUTIONS [J].
DUBOIS, D ;
PRADE, H .
FUZZY SETS AND SYSTEMS, 1991, 40 (01) :143-202
[3]
FUZZY-SETS IN APPROXIMATE REASONING .2. LOGICAL APPROACHES [J].
DUBOIS, D ;
LANG, J ;
PRADE, H .
FUZZY SETS AND SYSTEMS, 1991, 40 (01) :203-244
[4]
LI HX, 1998, SCI CHINA SER E, V28, P259
[6]
COMPARISON OF FUZZY-REASONING METHODS [J].
MIZUMOTO, M ;
ZIMMERMANN, HJ .
FUZZY SETS AND SYSTEMS, 1982, 8 (03) :253-283
[7]
Wang G.J., 1999, Sci. China (Ser. E), V29, P43
[8]
Wang L., 1997, A Course in Fuzzy Systems and Control
[9]
WU WM, 1986, FUZZY SET SYST, V20, P67, DOI 10.1016/S0165-0114(86)80032-X
[10]
CONCEPT OF A LINGUISTIC VARIABLE AND ITS APPLICATION TO APPROXIMATE REASONING .2. [J].
ZADEH, LA .
INFORMATION SCIENCES, 1975, 8 (04) :301-357