###
3rd International Symposium
on

Imprecise
Probabilities and Their Applications

ISIPTA '03

#####
University of Lugano

Lugano, Switzerland

14-17 July 2003

####
ELECTRONIC PROCEEDINGS

# Combining Belief Functions Issued from Dependent Sources

### Abstract

Dempster's rule for combining two belief functions assumes the independence
of the sources of information. If this assumption is questionable, I
suggest to use the least specific combination minimizing the conflict among
the ones allowed by a simple generalization of Dempster's rule. This
increases the monotonicity of the reasoning and helps us to manage
situations of dependence. Some properties of this combination rule and its
usefulness in a generalization of Bayes' theorem are then considered.

** Keywords. ** belief functions, propositional logic, combination, Dempster's rule, independence, conflict, monotonicity, nonspecificity, idempotency, associativity, Bayes' theorem

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** Authors addresses: **

Seminar für Statistik, LEO C13

ETH Zentrum

CH-8092 Zürich

** E-mail addresses: **

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