On (anti) conditional independence in Dempster-Shafer theory

This paper verifies a result of [9] concerning graphoidal structure of Shenoy's notion of independence for Dempster-Shafer theory of belief functions. Shenoy proved that his notion of independence has graphoidal properties for positive normal valuations. The requirement of strict positive norma...

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Detalles Bibliográficos
Autor: Klopotek, Mieczyslaw A.
Tipo de recurso: artículo
Fecha de publicación:1998
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2099/3505
Acceso en línea:https://hdl.handle.net/2099/3505
Access Level:acceso abierto
Palabra clave:Shenoy's notion of independence
Dempster-Shafer theory
Intel·ligència artificial
Representació del coneixement (Teoria de la informació)
Classificació AMS::68 Computer science::68T Artificial intelligence
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spelling On (anti) conditional independence in Dempster-Shafer theoryKlopotek, Mieczyslaw A.Shenoy's notion of independenceDempster-Shafer theoryIntel·ligència artificialRepresentació del coneixement (Teoria de la informació)Classificació AMS::68 Computer science::68T Artificial intelligenceThis paper verifies a result of [9] concerning graphoidal structure of Shenoy's notion of independence for Dempster-Shafer theory of belief functions. Shenoy proved that his notion of independence has graphoidal properties for positive normal valuations. The requirement of strict positive normal valuations as prerequisite for application of graphoidal properties excludes a wide class of DS belief functions. It excludes especially so-called probabilistic belief functions. It is demonstrated that the requirement of positiveness of valuation may be weakened in that it may be required that commonality function is non-zero for singleton sets instead, and the graphoidal properties for independence of belief function variables are then preserved. This means especially that probabilistic belief functions with all singleton sets as focal points possess graphoidal properties for independenceUniversitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica19981998-01-0120072007-09-18journal articlehttp://purl.org/coar/resource_type/c_6501NAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2099/3505reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2http://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2099/35052026-05-27T15:37:01Z
dc.title.none.fl_str_mv On (anti) conditional independence in Dempster-Shafer theory
title On (anti) conditional independence in Dempster-Shafer theory
spellingShingle On (anti) conditional independence in Dempster-Shafer theory
Klopotek, Mieczyslaw A.
Shenoy's notion of independence
Dempster-Shafer theory
Intel·ligència artificial
Representació del coneixement (Teoria de la informació)
Classificació AMS::68 Computer science::68T Artificial intelligence
title_short On (anti) conditional independence in Dempster-Shafer theory
title_full On (anti) conditional independence in Dempster-Shafer theory
title_fullStr On (anti) conditional independence in Dempster-Shafer theory
title_full_unstemmed On (anti) conditional independence in Dempster-Shafer theory
title_sort On (anti) conditional independence in Dempster-Shafer theory
dc.creator.none.fl_str_mv Klopotek, Mieczyslaw A.
author Klopotek, Mieczyslaw A.
author_facet Klopotek, Mieczyslaw A.
author_role author
dc.subject.none.fl_str_mv Shenoy's notion of independence
Dempster-Shafer theory
Intel·ligència artificial
Representació del coneixement (Teoria de la informació)
Classificació AMS::68 Computer science::68T Artificial intelligence
topic Shenoy's notion of independence
Dempster-Shafer theory
Intel·ligència artificial
Representació del coneixement (Teoria de la informació)
Classificació AMS::68 Computer science::68T Artificial intelligence
description This paper verifies a result of [9] concerning graphoidal structure of Shenoy's notion of independence for Dempster-Shafer theory of belief functions. Shenoy proved that his notion of independence has graphoidal properties for positive normal valuations. The requirement of strict positive normal valuations as prerequisite for application of graphoidal properties excludes a wide class of DS belief functions. It excludes especially so-called probabilistic belief functions. It is demonstrated that the requirement of positiveness of valuation may be weakened in that it may be required that commonality function is non-zero for singleton sets instead, and the graphoidal properties for independence of belief function variables are then preserved. This means especially that probabilistic belief functions with all singleton sets as focal points possess graphoidal properties for independence
publishDate 1998
dc.date.none.fl_str_mv 1998
1998-01-01
2007
2007-09-18
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
NA
http://purl.org/coar/version/c_be7fb7dd8ff6fe43
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2099/3505
url https://hdl.handle.net/2099/3505
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2

http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2

http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica
publisher.none.fl_str_mv Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.301603

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