ISSN:
1573-7187
Keywords:
Belief function
;
Choquet capacity
;
consensus
;
Cauchy's equation
;
Dempster-Shafer theory
;
uncertainty measure
Source:
Springer Online Journal Archives 1860-2000
Topics:
Sociology
,
Economics
Notes:
Abstract 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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00134110
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