Gärdenfors and Sahlin’s Unreliable Probabilities model enriches a basic IP approach with a “reliability index” (see the  historical appendix).  Lyon (2017) enriches the standard IP picture in a different way: he adds a privileged “best guess” probability. This modification allows for better aggregation of elicited IP estimates. How best to interpret such a model is still an open question. Other enriched IP models are no doubt available.