The paper deals with basic issues regarding the measurement of relevant types of uncertainty and uncertainty-based information in theories that represent imprecise probabilities of various types. Existing results and encountered difficulties regarding these issues, primarily in evidence theory and possibility theory, are presented. Some important open questions and unexplored areas of research in this domain are also discussed.
Keywords. . Imprecise probabilities, uncertainty measures, uncertainty-based information, evidence theory, possibility theory, Hartley-like measure, Shannon-like measure
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