ON A MEASURE OF AMBIGUITY

We consider a general characterization of a measure of ambiguity suggested by Fishburn and investigate the appropriateness of this characterization. ft is shown that a number of concepts related to uncertainty and taken from fuzzy logic-measures of fuzziness, measures of specificity, and measures of possibility/certainty interval-satisfy this characterization. In addition, a measure from classical logic indicating the certainty of our knowledge of the truth or falsity of a proposition in the face of a collection of premises also satisfies the characterization of Fishburn. (C) 1995 John Wiley & Sons, Inc.