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Fuzziness measures for fuzzy rectangles. (English) Zbl 0683.94019
Summary: Taking inspiration from the axioms for Shannon entropy and U-uncertainty, we study fuzziness measures such that the fuzziness of a ‘genuine’ rectangular set can be computed from the fuzziness of its sides. The results found plead in favour of measures based on the max operation, rather than measures of the additive type.

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