Required mathematical properties and behaviors of uncertainty measures on belief intervals

The Dempster–Shafer theory of evidence (DST) has been widely used to handle uncertainty-based information. It is based on the concept basic probability assignment (BPA). Belief intervals are easier manage than a BPA represent For this reason, several uncertainty measures for DST recently proposed belief intervals. In study, we carry out study about crucial mathematical properties and behavioral requirements that must be verified by every measure We base previously carried BPAs. Furthermore, analyze which these satisfied each one so far. Such comparative analysis shows that, among measures, maximum entropy most suitable employed in practical applications since it only satisfies all required behaviors.