Journal
INTERNATIONAL JOURNAL OF GENERAL SYSTEMS
Volume 35, Issue 1, Pages 29-44Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/03081070500473490
Keywords
imprecise probabilities; credal sets; lower probabilities; order-2 capacities; theory of evidence; uncertainty based information
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We present a new approach to measure uncertainty/information applicable to theories based on convex sets of probability distributions, also called credal sets. A definition of a total disaggregated uncertainty measure on credal sets is proposed in this paper motivated by recent outcomes. This definition is based on the upper and lower values of Shannon's entropy for a credal Set. We justify the use of the proposed total uncertainty measure and the parts into which it is divided: the maximum difference of entropies, which can be used as a non-specificity measure (imprecision), and the minimum of entropy, which represents a measure of conflict (contradiction).
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