✦ LIBER ✦

Consensus for belief functions and related uncertainty measures

✍ Scribed by Carl G. Wagner

Publisher: Springer US
Year: 1989
Tongue: English
Weight: 400 KB
Volume: 26
Category: Article
ISSN: 0040-5833
DOI: 10.1007/bf00134110

No coin nor oath required. For personal study only.

✦ Synopsis

We extend previous work of Lehrer and Wagner, and of McConway, on the consensus of probabilities, showing under axioms similar to theirs that (1) a belief function consensus of belief functions on a set with at least three members and (2) a belief function consensus of Bayesian belief functions on a set with at least four members must take the form of a weighted arithmetic mean. We observe that these results are unchanged when consensual uncertainty measures are allowed to take the form of Choquet capacities of low order monotonicity.

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## Abstract For a stationary and isotropic random closed set __Z__ in \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathbb {R}^d$\end{document} it is a well‐known fact that its covariance __C__(__t__) and its spherical contact distribution function \documentclass{art