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
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;
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
DOI :
10.1109/FSKD.2008.308
