Properties of measures of information in evidence and possibility theories
An overview of information measures recently introduced by several authors in the setting of Shafer's theory of evidence is proposed. New results pertaining to additivity and monotonicity properties of these measures of information are presented. The interpretation of each measure of information as opposed to others is discussed. The potential usefulness of measures of specificity or imprecision is suggested, and a 'principle of minimal specificity' is stated for the purpose of reconstructing a body of evidence from incomplete knowledge.
possibility theory information measure shafer's theory of evidence entropy