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Entropies in finite fuzzy sets. (English) Zbl 0436.94012
Summary: We introduce a general type of entropies (in the sense of De Luca and Termini) for finite fuzzy sets and study its properties for the case of the so-called \(\theta-*\) entropies, which generalize both the logarithmic entropy (as taken by the above mentioned authors), and Sugeno’s fuzzy integral for finite sets.

MSC:
94A17 Measures of information, entropy
94D05 Fuzzy sets and logic (in connection with information, communication, or circuits theory)
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