On Interpreting Fuzzy IF-THEN Rule Bases by Concepts of Functional Analysis

dc.contributor.author	Lehmke, Stephan	de
dc.contributor.author	Reusch, Bernd	de
dc.contributor.author	Temme, Karl-Heinz	de
dc.contributor.author	Thiele, Helmut	de
dc.date.accessioned	2004-12-07T08:19:46Z
dc.date.available	2004-12-07T08:19:46Z
dc.date.created	1998	de
dc.date.issued	2001-10-15	de
dc.description.abstract	Starting with ZADEH's fundamental paper 'The Calculus of Fuzzy IF-THEN Rules' we mention five possible interpretations of a Fuzzy IF-THEN Rule Base. The interpretation of a given Fuzzy IF-THEN Rule Base strongly depends on the area where it is to be applied. In the paper presented we restrict this area to fuzzy control and approximate reasoning. Consequently, we interpret a Fuzzy IF-THEN Rule Base as a system of functional equations for determining a special functional operator. Then using the concepts of functional analysis and metric spaces we introduce the principles FATI and FITA and study their correctness and equivalence.	en
dc.format.extent	189953 bytes
dc.format.extent	403685 bytes
dc.format.mimetype	application/pdf
dc.format.mimetype	application/postscript
dc.identifier.uri	http://hdl.handle.net/2003/5355
dc.identifier.uri	http://dx.doi.org/10.17877/DE290R-5436
dc.language.iso	en	de
dc.publisher	Universität Dortmund	de
dc.relation.ispartofseries	Reihe Computational Intelligence ; 19	de
dc.subject.ddc	004	de
dc.title	On Interpreting Fuzzy IF-THEN Rule Bases by Concepts of Functional Analysis	en
dc.type	Text	de
dc.type.publicationtype	report
dcterms.accessRights	open access

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