Consonant approximation of belief functions
International Journal of Approximate Reasoning
Fuzzy set connectives as combinations of belief structures
Information Sciences: an International Journal
Artificial Intelligence
Combination of compatible belief functions and relation of specificity
Advances in the Dempster-Shafer theory of evidence
Analyzing the combination of conflicting belief functions
Information Fusion
A definition of subjective possibility
International Journal of Approximate Reasoning
Cautious Conjunctive Merging of Belief Functions
ECSQARU '07 Proceedings of the 9th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
Reasoning with imprecise belief structures
International Journal of Approximate Reasoning
Belief functions combination without the assumption of independence of the information sources
International Journal of Approximate Reasoning
ECSQARU'11 Proceedings of the 11th European conference on Symbolic and quantitative approaches to reasoning with uncertainty
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When merging belief functions, Dempster rule of combination is justified only when sources can be considered as independent. When dependencies are ill-known, it is usual to ask the merging operation to satisfy the property of idempotence, as this property ensures a cautious behaviour in the face of dependent sources. There are different strategies to find such rules for belief functions. One strategy is to rely on idempotent rules used in either more general or more specific frameworks and to respectively study their particularisation or extension to belief functions. In this paper, we try to extend the minimum rule of possibility theory to belief functions. We show that such an extension is not always possible, unless we accept the idea that the result of the fusion process can be a family of belief functions.