On the preservation of monotonicity by extended mappings

Authors Ulrich Bodenhofer
Title On the preservation of monotonicity by extended mappings
Booktitle Proc. 3rd Int. Conf. in Fuzzy Logic and Technology
Type in proceedings
Address Zittau, Germany
Mark invited
ISBN 3-9808089-4-7
Month September
Year 2003
Pages 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.