The product of capacities and belief functions

Ebbe Hendon; Hans Jørgen Whitta-Jacobsen; Birgitte Sloth; Torben Tranæs

doi:10.1016/0165-4896(96)00813-X

The product of capacities and belief functions

Ebbe Hendon, Hans Jørgen Whitta-Jacobsen, Birgitte Sloth, Torben Tranæs

Department of Economics

32 Citations (Scopus)

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

Original language	English
Journal	Mathematical Social Sciences
Volume	32
Issue number	2
Pages (from-to)	95-108
ISSN	0165-4896
DOIs	https://doi.org/10.1016/0165-4896(96)00813-X
Publication status	Published - 1996

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10.1016/0165-4896(96)00813-X

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title = "The product of capacities and belief functions",

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",

author = "Ebbe Hendon and Whitta-Jacobsen, {Hans J{\o}rgen} and Birgitte Sloth and Torben Tran{\ae}s",

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T1 - The product of capacities and belief functions

AU - Hendon, Ebbe

AU - Whitta-Jacobsen, Hans Jørgen

AU - Sloth, Birgitte

AU - Tranæs, Torben

PY - 1996

Y1 - 1996

N2 - 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

AB - 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

U2 - 10.1016/0165-4896(96)00813-X

DO - 10.1016/0165-4896(96)00813-X

M3 - Journal article

SN - 0165-4896

VL - 32

SP - 95

EP - 108

JO - Mathematical Social Sciences

JF - Mathematical Social Sciences

IS - 2

ER -

The product of capacities and belief functions

Abstract

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