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|
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.