×

zbMATH — the first resource for mathematics

On some characterizations of the Shannon entropy using extreme symmetry and block symmetry. (English) Zbl 0511.94012
Summary: Two axiomatic characterizations of the Shannon entropy are given. The first one makes use of the concept of extreme symmetry where as the second one that of block symmetry, both weaker than symmetry in the strict sense and independent of each other.

MSC:
94A17 Measures of information, entropy
PDF BibTeX XML Cite
Full Text: DOI