Belief functions combination without the assumption of independence of the information sources

Authors:
Marco E. G. V. Cattaneo
Affiliations:
Department of Statistics, LMU Munich, Ludwigstraße 33, 80539 München, Germany
Venue:
International Journal of Approximate Reasoning
Year:
2011

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Abstract

This paper considers the problem of combining belief functions obtained from not necessarily independent sources of information. It introduces two combination rules for the situation in which no assumption is made about the dependence of the information sources. These two rules are based on cautious combinations of plausibility and commonality functions, respectively. The paper studies the properties of these rules and their connection with Dempster's rules of conditioning and combination and the minimum rule of possibility theory.