Lexicographic composition of fuzzy orderings

Authors Ulrich Bodenhofer
Title Lexicographic composition of fuzzy orderings
Booktitle Proc. 11th Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IMPU 2006)
Type in proceedings
Publisher Éditions E.D.K.
Volume III
Address Paris, France
Department IDM
ISBN 2-84254-112-X
Month July
Year 2006
Pages 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.