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 |
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. |