Uncertainty measures, decomposability and admissibility. (English) Zbl 0723.94014
Summary: Uncertainty measures are defined in a general manner as morphisms between certain posets which permits a unified treatment of different measures, for classical and for fuzzy events. Admissible measures are discussed in a decision theoretical notation, making use of quasilinear entropies. Connections and differences to decomposable measures are illustrated.
MSC:
| 94D05 | Fuzzy sets and logic (in connection with information, communication, or circuits theory) |
| 94A17 | Measures of information, entropy |
Keywords:
lattice ordered semigroups; information; triangular norms; score functions; Uncertainty measures; posets; fuzzy events; Admissible measures; quasilinear entropies; decomposable measuresReferences:
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