On the preservation of monotonicity by extended mappings

Autoren Ulrich Bodenhofer
TitelOn the preservation of monotonicity by extended mappings
BuchtitelProc. 3rd Int. Conf. in Fuzzy Logic and Technology
Typin Konferenzband
OrtZittau, Germany
Noteinvited
ISBN3-9808089-4-7
MonatSeptember
Jahr2003
Seiten251-254
SCCH ID#310
Abstract

Images of fuzzy relations provide powerful access to fuzzifications of properties of and/or relationships between fuzzy sets. As an important example, images of fuzzy orderings canonically lead to a concept of ordering offuzzy sets. This contribution studies in which way the partial (i.e. componentwise) monotonicity of an n-ary mappingtransfers to its extension to fuzzy sets.