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An axiomatization of fuzzy classes.

Nando Prati — 1988

Stochastica

An axiomatization of fuzzy classes more general than usual fuzzy sets is proposed. Connections and interpretations with other axiomatizations of set theory and fuzzy set theory are investigated.

On the notion of Fuzzy Set.

Nando Prati — 1992

Stochastica

Many discussions have been made on the problem of (i) What are Fuzzy Sets? since the origin of the theory. Due to the structure of Fuzzy Sets the first impression that many people have is that Fuzzy Sets are the distribution of a probability. Recent developments of many theories of uncertainty measures (belief functions, possibility and fuzzy measures, capacities) can make also think that a Fuzzy Set is the distribution of an uncertainty measure. Other problems arising inside...

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