On the preservation of monotonicity by extended mappings

Autoren Ulrich Bodenhofer
Titel On the preservation of monotonicity by extended mappings
Buchtitel Proc. 3rd Int. Conf. in Fuzzy Logic and Technology
Typ in Konferenzband
Ort Zittau, Germany
Note invited
ISBN 3-9808089-4-7
Monat September
Jahr 2003
Seiten 251-254
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.