Measuring uncertainty and uncertainty-based information for imprecise probabilities

摘要

After a brief overview of the various theories of imprecise probabilities, the paper focuses on the issue of measuring uncertainty and uncertainty-based information in the individual theories. This issue is covered in three parts. First, essential requirements that must be satisfied by any measure of uncertainty are discussed in generic terms. Next, an overview of established uncertainty measures for the various types of imprecise probabilities is presented. Finally, open problems in this area of research are briefly surveyed.