 In  Gilio (2002)  an approach is presented in which conditionals \(\alpha \nc \beta\) are characterized by imprecise conditional probabilities \(0 \le \tau_1 \le P(\beta \mid \alpha) \le \tau_2 \le 1\) with a lower bound \(\tau_1\) and an upper bound \(\tau_2\) on the conditional probabilities. In this approach it is possible to determine how the probability bounds degrade in view of applications of specific inference rules. In  Ford (2004)  this is used to distinguish argument strengths (see  above).  