 For each ranking function \(\varrho\) we can define a corresponding belief function \(\beta : \mathbf{A} \rightarrow \mathbf{Z}\cup \{\pm \infty \}\) by setting \( \beta(A) = \varrho(\neg A) - \varrho(A) \) for all \(A\) in \(\mathbf{A}\). The belief function assigns positive numbers to those propositions that are believed, negative numbers to those propositions that are disbelieved, and 0 to those propositions with respect to which the agent suspends judgment. Each ranking function \(\varrho\) induces a belief set