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On a type of monotonicity for multidimensional operators

✍ Scribed by G. Mayor; T. Calvo

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
480 KB
Volume
104
Category
Article
ISSN
0165-0114

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✦ Synopsis

Two partial orderings on the set E of multidimensional ordered lists on [0, 1] are introduced based on a t-norm and on a t-conorm, respectively. We study the monotonicity condition for a function f from E to [0, 1] with respect to both orders. In the case when f is a t-norm we characterize the condition in terms of an equation that is solved in the very main context.

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