Uniqueness of information measure in the theory of evidence.

*(English)*Zbl 0638.94027It is shown that three properties - symmetry, additivity and subadditivity - determine, in essence, the form of an uncertainty measure in the theory of evidence. Moreover it is shown that complete characterization requires either suitable continuity assumptions or some branching hypothesis.

Reviewer: L.Pardo

##### MSC:

94D05 | Fuzzy sets and logic (in connection with information, communication, or circuits theory) |

94A17 | Measures of information, entropy |

##### Keywords:

evidence distribution; information measure; non-specificity; uncertainty measure; theory of evidence
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DOI

##### References:

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