A Comparative Analysis of Aggregation Rules for Coherent Lower Previsions

WeSalamanca, J.J.Montes, I.Miranda, E. consider the problem of aggregating information provided by experts when this information is expressed by means of coherent lower previsions. These constitute a framework general enough so as to include as particular cases not only probability measures but also the majority of models from the imprecise probability theory. Although the aggregation problem has already been tackled in the literature, our contribution provides a unified view by putting together a number of rationality criteria and aggregation rules studied in different papers. Specifically, we consider five aggregation rules, twelve rationality criteria and provide a detailed analysis of the properties satisfied by each rule.