DocumentCode
3291607
Title
The Sufficient and Necessary Conditions for Fuzzy Systems Possessing Interpolation Property
Author
Yuan, Fei ; Hou, Jian
Author_Institution
Dept. of Appl. Math., Beijing Normal Univ., Zhuhai
Volume
5
fYear
2008
fDate
18-20 Oct. 2008
Firstpage
124
Lastpage
128
Abstract
In this paper, interpolation property of two types of fuzzy systems generated by inference rules of "intersection" and "union" are discussed. First, fuzzy systems adopting "singleton" fuzzification, compositional rule of inference (CRI) algorithm and "barycenter method" defuzzification are studied, it is pointed out that interpolation properties of these fuzzy systems depend on the expressions or values of implication operator when its second variable take 0 and 1. Based on it, the sufficient and necessary conditions for fuzzy systems possessing interpolation property are proposed.
Keywords
fuzzy set theory; interpolation; barycenter method defuzzification; compositional rule of inference; fuzzy systems; interpolation property; Approximation algorithms; Bismuth; Chromium; Control systems; Function approximation; Fuzzy control; Fuzzy systems; Inference algorithms; Interpolation; Mathematics; CRI algorithm; fuzzy implication operators; fuzzy systems; interpolation property;
fLanguage
English
Publisher
ieee
Conference_Titel
Fuzzy Systems and Knowledge Discovery, 2008. FSKD '08. Fifth International Conference on
Conference_Location
Jinan Shandong
Print_ISBN
978-0-7695-3305-6
Type
conf
DOI
10.1109/FSKD.2008.308
Filename
4666509
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