Degree of imprecision: Geometric and algorithmic approaches

Authors:
Robert G. Chambers;Tigran Melkonyan
Affiliations:
Department of Agricultural and Resource Economics, University of Maryland, 2106 Symmons Hall, College Park, MD 20742, United States;Department of Agricultural and Resource Economics, University of Maryland, 2106 Symmons Hall, College Park, MD 20742, United States
Venue:
International Journal of Approximate Reasoning
Year:
2007

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Abstract

We use standard results from convex geometry to obtain representations of the prior and posterior degrees of imprecision in terms of width functions and difference bodies. These representations are used to construct algorithms for the calculation of the prior and the posterior degree of imprecision.