A blurred focal elements generalization of Dempster's rule

When propositions are poorly specified it is uncertain if two propositions of different pieces of evidence are in logical conflict, i.e. it is uncertain whether the intersection between their corresponding focal elements is empty. To distinguish between normal focal elements and these poorly represented focal elements we shall call the latter blurred focal elements. In order to resolve the ambiguity, this uncertaity is modeled by creating an additional piece of evidence against he simultaneous belief in both propositions and treating the two original pieces of evidence as non-conflicting. In this paper we present a generalization of Dempster´s rule for evidence with blurred focal elements based on this methodology.