Lexicographic composition of fuzzy orderings

Autoren Ulrich Bodenhofer
Titel Lexicographic composition of fuzzy orderings
Buchtitel Proc. 11th Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IMPU 2006)
Typ in Konferenzband
Verlag Éditions E.D.K.
Band III
Ort Paris, France
Abteilung IDM
ISBN 2-84254-112-X
Monat July
Jahr 2006
Seiten 2430-2437
SCCH ID# 538

The present paper introduces an approach to construct lexicographic compositions of similarity-based fuzzy orderings. This construction is demonstrated by means of non-trivial examples. Asthis is a crucial feature of lexicographic composition, the preservation of linearity is studied in detail. We obtain once again that it is essential for meaningful results that the t-norm under consideration induces an involutive (strong) negation.