On the Effectiveness of Measures of Uncertainty of Basic Belief Assignments

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Information & Security: An International Journal, Volume 52, p.9-36 (2022)


belief functions, measure of uncertainty, MoU, Shannon entropy


This article examines many existing measures of uncertainty of basic belief assignments proposed in the literature related to the theory of belief func­tions. Some measures capture only a particular aspect of the uncertainty, others propose a total measure of uncertainty to characterize the information quality of a source of information. We discuss the effectiveness of these measures with respect to four main important desiderata that we consider essential for the definition of a satisfactory measure of uncertainty, i.e. effective entropy of basic belief assignment.