Symmetric coherent upper conditional prevision defined by the Choquet integral with respect to Hausdorff outer measure (Q492812)

The author studies symmetric fuzzy measures on the power set of a set. She proves that the following are symmetric:{\parindent=6mm \begin{itemize} \item[(1)] coherent upper conditional probabilities defined by Hausdorff outer measures, \item [(2)] distorted coherent upper conditional probabilities defined by Hausdorff outer measures with concave distortion, \item [(3)] coherent upper conditional prevision defined as Choquet integral with respect to Hausdorff outer measure. A discussion on the role of symmetry in knowledge acquisition is presented. \end{itemize}}