Lexicographic composition of fuzzy orderings

U. Bodenhofer. Lexicographic composition of fuzzy orderings. volume III, pages 2430-2437, 7, 2006.

Autoren
  • Ulrich Bodenhofer
BuchProc. 11th Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IMPU 2006)
TypIn Konferenzband
VerlagÉditions E.D.K.
BandIII
ISBN2-84254-112-X
Monat7
Jahr2006
Seiten2430-2437
Abstract 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.