Starting from considering different definitions of conditioning for decomposable measures, in particular for totaly monotone measures (belief functions) and totaly alternating measures (plausibility functions), we provide a concept of independence which covers some natural properties. In particular, we characterize the proposed independence for plausibility functions and we check some relevant properties. Relationships with other notion studied in literature are shown.
Keywords. Totaly monotone measures, Plausibility, Conditioning, Independence
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