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

^*Kontaktforfatter

Københavns Universitet

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

Abstrakt

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.

Originalsprog	Engelsk
Tidsskrift	Mathematical Social Sciences
Vol/bind	32
Udgave nummer	2
Sider (fra-til)	95-108
Antal sider	14
ISSN	0165-4896
DOI	https://doi.org/10.1016/0165-4896(96)00813-X
Status	Udgivet - 1. jan. 1996
Udgivet eksternt	Ja

Dokumenter og links

10.1016/0165-4896(96)00813-X

Citationsformater

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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",

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T1 - The product of capacities and belief functions

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

Abstrakt

Dokumenter og links

Fingeraftryk

Citationsformater