About conditional belief function independence

Abstract

In this paper, we study different concepts of conditional belief functions independence in the context of the transferable belief model. We especially clarify the relationships between the concepts of conditional non-interactivity, irrelevance and doxastic independence. Conditional non-interactivity is defined by the 'mathematical' property useful for computation considerations and corresponds to decomposionality of the belief functions. Conditional irrelevance is defined by a 'common sense' property based on conditioning. Conditional doxastic independence is deFIned by a particular form of irrelevance, the one preserved under Dempster's rule of combination.