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- W1507386793 abstract "In this paper we introduce indeed two alternative formulations of the theory of evidence by proving that both plausibility and commonality functions share the same combinatorial structure of sum function of belief functions, and computing their Moebius inverses called basic plausibility and commonality assignments. The equivalence of the associated formulations of the ToE is mirrored by the geometric congruence of the related simplices. Applications to the probabilistic approximation problem are briefly presented.KeywordsAlternative FormulationBelief FunctionCommonality FunctionCommonality SpaceBinary CaseThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves." @default.
- W1507386793 created "2016-06-24" @default.
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- W1507386793 date "2008-01-01" @default.
- W1507386793 modified "2023-09-25" @default.
- W1507386793 title "Alternative Formulations of the Theory of Evidence Based on Basic Plausibility and Commonality Assignments" @default.
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- W1507386793 doi "https://doi.org/10.1007/978-3-540-89197-0_12" @default.
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