The product of capacities and belief functions

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

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

The product of capacities and belief functions

Ebbe Hendon, Hans Jørgen Jacobsen, Birgitte Sloth^*, Torben Tranæs

^*Corresponding author for this work

University of Copenhagen

Research output: Contribution to journal › Journal article › Research › peer-review

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
Number of pages	14
ISSN	0165-4896
DOIs	https://doi.org/10.1016/0165-4896(96)00813-X
Publication status	Published - 1. Jan 1996
Externally published	Yes

Keywords

Belief functions
Capacities
Lower probabilities
Non-additive measures
Product measure
Uncertainty

Documents & Links

10.1016/0165-4896(96)00813-X

Cite this

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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.",

keywords = "Belief functions, Capacities, Lower probabilities, Non-additive measures, Product measure, Uncertainty",

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

year = "1996",

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AU - Hendon, Ebbe

AU - Jacobsen, Hans Jørgen

AU - Sloth, Birgitte

AU - Tranæs, Torben

PY - 1996/1/1

Y1 - 1996/1/1

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.

KW - Belief functions

KW - Capacities

KW - Lower probabilities

KW - Non-additive measures

KW - Product measure

KW - Uncertainty

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

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

M3 - Journal article

AN - SCOPUS:0030268553

VL - 32

SP - 95

EP - 108

JO - Mathematical Social Sciences

JF - Mathematical Social Sciences

SN - 0165-4896

IS - 2

ER -

The product of capacities and belief functions

Abstract

Keywords

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