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Statements

Subject Item
n2:RIV%2F67985807%3A_____%2F12%3A00381403%21RIV13-GA0-67985807
rdf:type
skos:Concept n16:Vysledek
dcterms:description
This contribution presents the second part of the introductive study of algebraic structure of belief functions (BFs) on 3-element frame of discernment. Algebraic method by Hájek & Valdés for BFs on 2-element frames is generalized to larger frame of discernment. Due to complexity of the algebraic structure, the study is divided into 2 parts, the present one is devoted to a case of general BFs. The definition of Dempster's semigroup (an algebraic structure) of BFs on 3-element frame is recalled from the first part of the study. Results related to Bayesian and quasi Bayesian BFs from the first part are also briefly recalled. Further substructures related to another subsets of general BFs are described and analyzed (including idempotents, simple complementary BFs, generalizations of subsemigroups of simple BFs) and subalgebras isomorphic to Dempster's semigroup on 2-element frame of discernment. Ideas and open problems for future research are presented. This contribution presents the second part of the introductive study of algebraic structure of belief functions (BFs) on 3-element frame of discernment. Algebraic method by Hájek & Valdés for BFs on 2-element frames is generalized to larger frame of discernment. Due to complexity of the algebraic structure, the study is divided into 2 parts, the present one is devoted to a case of general BFs. The definition of Dempster's semigroup (an algebraic structure) of BFs on 3-element frame is recalled from the first part of the study. Results related to Bayesian and quasi Bayesian BFs from the first part are also briefly recalled. Further substructures related to another subsets of general BFs are described and analyzed (including idempotents, simple complementary BFs, generalizations of subsemigroups of simple BFs) and subalgebras isomorphic to Dempster's semigroup on 2-element frame of discernment. Ideas and open problems for future research are presented.
dcterms:title
Introduction to Algebra of Belief Functions on Three-element Frame of Discernment - A General Case Introduction to Algebra of Belief Functions on Three-element Frame of Discernment - A General Case
skos:prefLabel
Introduction to Algebra of Belief Functions on Three-element Frame of Discernment - A General Case Introduction to Algebra of Belief Functions on Three-element Frame of Discernment - A General Case
skos:notation
RIV/67985807:_____/12:00381403!RIV13-GA0-67985807
n16:predkladatel
n17:ico%3A67985807
n3:aktivita
n15:P n15:I
n3:aktivity
I, P(GAP202/10/1826)
n3:dodaniDat
n5:2013
n3:domaciTvurceVysledku
n13:1197983
n3:druhVysledku
n21:D
n3:duvernostUdaju
n9:S
n3:entitaPredkladatele
n18:predkladatel
n3:idSjednocenehoVysledku
142796
n3:idVysledku
RIV/67985807:_____/12:00381403
n3:jazykVysledku
n20:eng
n3:klicovaSlova
belief function; Dempster-Shafer theory; Dempster's semigroup; homomorphisms; conflict between belief functions; uncertainty
n3:klicoveSlovo
n6:uncertainty n6:conflict%20between%20belief%20functions n6:Dempster%27s%20semigroup n6:Dempster-Shafer%20theory n6:homomorphisms n6:belief%20function
n3:kontrolniKodProRIV
[3C97CBD4CBB0]
n3:mistoKonaniAkce
Mariánské Lázně
n3:mistoVydani
Prague
n3:nazevZdroje
Proceedings of 9th Workshop on Uncertainty Processing
n3:obor
n4:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
1
n3:projekt
n14:GAP202%2F10%2F1826
n3:rokUplatneniVysledku
n5:2012
n3:tvurceVysledku
Daniel, Milan
n3:typAkce
n12:CST
n3:zahajeniAkce
2012-09-12+02:00
s:numberOfPages
12
n10:hasPublisher
Faculty of Management, University of Economics
n8:isbn
978-80-245-1885-5