The Product of Capacities and Belief Functions

: Ebbe : Hendon, Hans Jørgen Jacobsen, Birgitte Sloth () and Torben Tranaes ()
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: Ebbe : Hendon: Institute of Economics, University of Copenhagen
Hans Jørgen Jacobsen: Institute of Economics, University of Copenhagen

No 93-04, Discussion Papers from University of Copenhagen. Department of Economics

Abstract: Capacities (monotone, non-additive set functions) have been suggested to describe situations of uncertainty. We examine the question of how to define the product of two independent capacities. In particular, for the product of two belief functions (totally monotone capacities), there is a unique minimal product belief function. This is characterized in several ways.

Keywords: uncertainty; capacities; non-additive measures; lower probabilities; belief functions (search for similar items in EconPapers)
JEL-codes: D81 (search for similar items in EconPapers)
Pages: 14 pages
Date: 1993-05
References: Add references at CitEc
Citations: View citations in EconPapers (1)

Published in: Mathematical Social Sciences, 1996, 32(2) pp 95-108

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