On the preservation of monotonicity by extended mappings

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 of fuzzy sets. This contribution studies in which way the partial (i.e. componentwise) monotonicity of an n-ary mapping transfers to its extension to fuzzy sets.

• Type: Conference
• Year: 2003
• Where: EUSFLAT
• Authors: Ulrich Bodenhofer
• Keywords: EUSFLAT 2003, EUSFLAT 2007, Fuzzy Orderings, Fuzzy Relations, Fuzzy Sets