Toward an Axiomatic Definition of Conflict Between Belief Functions

Sébastien Destercke · Thomas Bürger

107 citations0/0 files storedIEEE Transactions on Cybernetics

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Multi-Criteria Decision Making Bayesian Modeling and Causal Inference Rough Sets and Fuzzy Logic

Abstract

Recently, the problem of measuring the conflict between two bodies of evidence represented by belief functions has known a regain of interest. In most works related to this issue, Dempster's rule plays a central role. In this paper, we propose to study the notion of conflict from a different perspective. We start by examining consistency and conflict on sets and extract from this settings basic properties that measures of consistency and conflict should have. We then extend this basic scheme to belief functions in different ways. In particular, we do not make any a priori assumption about sources (in)dependence and only consider such assumptions as possible additional information.

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References

1994Advances in the Dempster-Shafer theory of evidence 2004Decision making in the TBM: the necessity of the pignistic transformation 1996Information combination operators for data fusion: a comparative review with classification 2000The Dempster–Shafer theory of evidence: an alternative approach to multicriteria decision modelling 2006Analyzing the combination of conflicting belief functions 2006Analyzing the degree of conflict among belief functions 1986A SET-THEORETIC VIEW OF BELIEF FUNCTIONS Logical operations and approximations by fuzzy sets†2007Conjunctive and disjunctive combination of belief functions induced by nondistinct bodies of evidence

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