"Lexicographic Composition of Fuzzy Orderings"
: Proc. 11th Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems, Vol. III, Seite(n) 2430-2437, 7-2006, ISBN: 2-84254-112-X
Lexicographic Composition of Fuzzy Orderings
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Proc. 11th Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems
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. As this 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.