Mustafa Demirci, Ulrich Bodenhofer,
"Strict Fuzzy Orderings in a Similarity-Based Setting"
: Proc. Joint 4th Conf. of the European Society for Fuzzy Logic and Technology and 11 Recontres Francophones sur la Logique Floue et ses Applications, Seite(n) 297-302, 9-2005, ISBN: 84-7653-872-3
Strict Fuzzy Orderings in a Similarity-Based Setting
Sprache des Titels:
Proc. Joint 4th Conf. of the European Society for Fuzzy Logic and Technology and 11 Recontres Francophones sur la Logique Floue et ses Applications
This paper introduces and justifies a similarity-based concept of strict fuzzy orderings and provides constructions how fuzzy orderings can be transformed into strict fuzzy orderings and vice versa. We demonstrate that there is a meaningful correspondence between fuzzy orderings and strict fuzzy orderings. Unlike the classical case, however, we do not obtain a general oneto- one correspondence. We observe that the strongest results are achieved if the underlying tnorm induces a strong negation, which, in particular, includes nilpotent t-norms and the nilpotent minimum.