Openings and closures of fuzzy preorderings: theoretical basics and applications to fuzzy rule-based systems

The purpose of this paper is two-fold. Firstly, a general concept of closedness of fuzzy sets under fuzzy preorderings is proposed and investigated along with the corresponding opening and closure operators. Secondly, the practical impact of this notion is demonstrated by applying it to the analysis...

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Bibliographic Details
Published in:International journal of general systems 2003-08, Vol.32 (4), p.343-360
Main Authors: Bodenhofer, Ulrich, De Cock‡, Martine, Kerre, Etienne E.
Format: Article
Language:English
Subjects:
Closedness
Fuzzy preordering
Fuzzy relation
Linguistic modifier
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Summary:The purpose of this paper is two-fold. Firstly, a general concept of closedness of fuzzy sets under fuzzy preorderings is proposed and investigated along with the corresponding opening and closure operators. Secondly, the practical impact of this notion is demonstrated by applying it to the analysis of ordering-based modifiers.
ISSN:0308-1079
1563-5104
DOI:10.1080/0308107031000135026