Measures of Uncertainty and Information


David Harmanec


This contribution overviews the approaches, results and history of attempts at measuring uncertainty and information in the various theories of imprecise probabilities. The main focus, however, is on the theory of belief functions (or the Dempster-Shafer theory) and the possibility theory as most of the development so far has happened there. Due to the limited space I am focusing on the main ideas and point to references for details. There are several other published overviews of the subject. This writing summarizes my personal view of the subject. I do not cover measuring fuzziness here. Please, see one of the above references for an introduction and relevant references.

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