On a measure of ambiguity

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1995 English Publisher:Hindawi LimitedJournal:International Journal of Intelligent Systems, volume 10, pages 1,001-1,019 (issn: 0884-8173, eissn: 1098-111X,

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Authors: Ronald R. Yager;

doi: 10.1002/int.4550101106

On a measure of ambiguity

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Abstract

We consider a general characterization of a measure of ambiguity suggested by Fishburn and investigate the appropriateness of this characterization. It 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. © 1995 John Wiley & Sons, Inc.

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