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Statements

Subject Item
n2:RIV%2F67985807%3A_____%2F14%3A00430480%21RIV15-GA0-67985807
rdf:type
n8:Vysledek skos:Concept
dcterms: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.
dcterms:title
Towards a Conflicting Part of a Belief Function Towards a Conflicting Part of a Belief Function
skos:prefLabel
Towards a Conflicting Part of a Belief Function Towards a Conflicting Part of a Belief Function
skos:notation
RIV/67985807:_____/14:00430480!RIV15-GA0-67985807
n3:aktivita
n14:I n14:P
n3:aktivity
I, P(GAP202/10/1826)
n3:dodaniDat
n4:2015
n3:domaciTvurceVysledku
n11:1197983
n3:druhVysledku
n13:D
n3:duvernostUdaju
n19:S
n3:entitaPredkladatele
n15:predkladatel
n3:idSjednocenehoVysledku
50790
n3:idVysledku
RIV/67985807:_____/14:00430480
n3:jazykVysledku
n7:eng
n3: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
n3:klicoveSlovo
n6:Dempster-Shafer%20theory n6:Dempster%E2%80%99s%20semigroup n6:conflict%20between%20belief%20functions n6:conflicting%20part%20of%20belief%20function n6:non-conflicting%20part%20of%20belief%20function n6:uncertainty n6:belief%20function
n3:kontrolniKodProRIV
[8F844D44F642]
n3:mistoKonaniAkce
Montpellier
n3:mistoVydani
Cham
n3:nazevZdroje
Information Processing and Management of Uncertainty in Knowledge-Based Systems
n3:obor
n20:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
1
n3:projekt
n21:GAP202%2F10%2F1826
n3:rokUplatneniVysledku
n4:2014
n3:tvurceVysledku
Daniel, Milan
n3:typAkce
n5:WRD
n3:wos
000345123400022
n3:zahajeniAkce
2014-07-15+02:00
s:issn
1865-0929
s:numberOfPages
11
n16:doi
10.1007/978-3-319-08852-5_22
n17:hasPublisher
Springer-Verlag
n18:isbn
978-3-319-08851-8