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Representation of Continuous Archimedean Radial Fuzzy Systems

SYSNO ASEP	0405647
Document Type	C - Proceedings Paper (int. conf.)
R&D Document Type	Conference Paper
Title	Representation of Continuous Archimedean Radial Fuzzy Systems
Title	Radiální implifikační fuzzy systémy.
Author(s)	Coufal, David (UIVT-O)_{RID, SAI, ORCID}
Source Title	Fuzzy Logic, Soft Computing and Computational Intelligence, 2 / Liu Y. ; Chen G. ; Ying M.. - Beijing : Tsinghua University Press and Springer, 2005 - ISBN 7-302-11377-7
Pages	s. 1174-1179
Number of pages	6 s.
Action	International Fuzzy Systems Association World Congress /11./
Event date	28.07.2005-31.07.2005
VEvent location	Beijing
Country	CN - China
Event type	WRD
Language	eng - English
Country	CN - China
Keywords	radial fuzzy system ; lp-norm ; continuous Archimedean t-norm
Subject RIV	BA - General Mathematics
R&D Projects	1M0545 GA MŠMT - Ministry of Education, Youth and Sports (MEYS)
Annotation	We present the representation theorem for radial fuzzy systems based on continuous Archimedean t-norms. Radial fuzzy systems are fuzzy systems exhibiting a shape preservation property in the antecendents of their rules. Theorem shows a fuzzy system is radial if and only if the shape of antecendent fuzzy sets corresponds to the pseudo-inverse of additive generator of the t-norm the system is based on. The other consequence of the theorem is that only scaled lp norms can occure in membership functions of antecendents.
Workplace	Institute of Computer Science
Contact	Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800
Year of Publishing	2006

Number of the records: 1