The new concept of fuzzy integral introduced by Sugeno is discussed and some of its properties are found, for the case of measures of type sup (i.e. measures preserving the sup operation). Mreover a Radon-Nikody'm theorem is established for this integral, correcting some mistakes in the Sugeno's paper, and a characterization of measures of type sup is given, at least when the underlying space is Polish.
Radon-Nikodym derivatives and conditioning in fuzzy measure theory
CANDELORO, Domenico;
1987
Abstract
The new concept of fuzzy integral introduced by Sugeno is discussed and some of its properties are found, for the case of measures of type sup (i.e. measures preserving the sup operation). Mreover a Radon-Nikody'm theorem is established for this integral, correcting some mistakes in the Sugeno's paper, and a characterization of measures of type sup is given, at least when the underlying space is Polish.File in questo prodotto:
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