"On the Preservation of Monotonicity by Extended Mappings"
: Proc. 3rd Int. Conf. in Fuzzy Logic and Technology, Seite(n) 251-254, 9-2003, ISBN: 3-9808089-4-7
On the Preservation of Monotonicity by Extended Mappings
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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 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.