About: Towards a Conflicting Part of a Belief Function

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Belief functions usually contain some internal conflict. Based on Hájek-Valdés algebraic analysis of belief functions, a unique decomposition of a belief function into its conflicting and non-conflicting part was introduced at ISIPTA’11 symposium for belief functions defined on a two-element frame of discernment. This contribution studies the conditions under which such a decomposition exists for belief functions defined on a three-element frame. A generalisation of important Hájek-Valdés homomorphism f of semigroup of belief functions onto its subsemigroup of indecisive belief functions is found and presented. A class of quasi-Bayesian belief functions, for which the decomposition into conflicting and non-conflicting parts exists is specified. A series of other steps towards a conflicting part of a belief function are presented. Several open problems from algebra of belief functions which are related to the investigated topic and are necessary for general solution of the issue of decomposition are formulated. Belief functions usually contain some internal conflict. Based on Hájek-Valdés algebraic analysis of belief functions, a unique decomposition of a belief function into its conflicting and non-conflicting part was introduced at ISIPTA’11 symposium for belief functions defined on a two-element frame of discernment. This contribution studies the conditions under which such a decomposition exists for belief functions defined on a three-element frame. A generalisation of important Hájek-Valdés homomorphism f of semigroup of belief functions onto its subsemigroup of indecisive belief functions is found and presented. A class of quasi-Bayesian belief functions, for which the decomposition into conflicting and non-conflicting parts exists is specified. A series of other steps towards a conflicting part of a belief function are presented. Several open problems from algebra of belief functions which are related to the investigated topic and are necessary for general solution of the issue of decomposition are formulated. (en)
Title	Towards a Conflicting Part of a Belief Function Towards a Conflicting Part of a Belief Function (en)
skos:prefLabel	Towards a Conflicting Part of a Belief Function Towards a Conflicting Part of a Belief Function (en)
skos:notation	RIV/67985807:_____/14:00430480!RIV15-GA0-67985807
http://linked.open...avai/riv/aktivita	I P
http://linked.open...avai/riv/aktivity	I, P(GAP202/10/1826)
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	Daniel, Milan
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ústav informatiky AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	50790
http://linked.open...ai/riv/idVysledku	RIV/67985807:_____/14:00430480
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	belief function; Dempster-Shafer theory; Dempster’s semigroup; conflict between belief functions; uncertainty; non-conflicting part of belief function; conflicting part of belief function (en)
http://linked.open.../riv/klicoveSlovo	conflict between belief functions conflicting part of belief function non-conflicting part of belief function Dempster’s semigroup uncertainty belief function Dempster-Shafer theory
http://linked.open...ontrolniKodProRIV	[8F844D44F642]
http://linked.open...v/mistoKonaniAkce	Montpellier
http://linked.open...i/riv/mistoVydani	Cham
http://linked.open...i/riv/nazevZdroje	Information Processing and Management of Uncertainty in Knowledge-Based Systems
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...vavai/riv/projekt	Matematická fuzzy logika v informatice
http://linked.open...UplatneniVysledku	2014
http://linked.open...iv/tvurceVysledku	Daniel, Milan
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open...ain/vavai/riv/wos	000345123400022
http://linked.open.../riv/zahajeniAkce	2014-07-15 (xsd:date)
issn	1865-0929
number of pages	11 (xsd:int)
http://bibframe.org/vocab/doi	10.1007/978-3-319-08852-5_22
http://purl.org/ne...btex#hasPublisher	Springer-Verlag
https://schema.org/isbn	978-3-319-08851-8

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