On the preservation of monotonicity by extended mappings

U. Bodenhofer. On the preservation of monotonicity by extended mappings. pages 251-254, 9, 2003.

Autoren
  • Ulrich Bodenhofer
BuchProc. 3rd Int. Conf. in Fuzzy Logic and Technology
TypIn Konferenzband
Noteinvited
ISBN3-9808089-4-7
Monat9
Jahr2003
Seiten251-254
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.