About: Conflict between Belief Functions: A New Measure Based on Their Non-conflicting Parts

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	When combining belief functions by conjunctive rules of combination, conflicts often appear, which are assigned to empty set by the non-normalised conjunctive rule or normalised by Dempster’s rule of combination in Dempster-Shafer theory. Combination of conflicting belief functions and interpretation of their conflicts is often questionable in real applications; hence a series of alternative combination rules were suggested and a series of papers on conflicting belief functions have been published and conflicts of belief functions started to be investigated. This theoretical contribution introduces a new definition of conflict between two belief functions on a general finite frame of discernment. Its idea is based on H´ajek-Vald´es algebraic analysis of belief functions, on our previous study of conflicts of belief functions, where internal conflicts of belief functions are distinguished from a conflict between belief functions, and on the decomposition of a belief function into its conflicting and non-conflicting parts. Basic properties of this newly defined conflict are presented, analyzed and briefly compared with our previous approaches to conflict as well as with Liu’s degree of conflict. When combining belief functions by conjunctive rules of combination, conflicts often appear, which are assigned to empty set by the non-normalised conjunctive rule or normalised by Dempster’s rule of combination in Dempster-Shafer theory. Combination of conflicting belief functions and interpretation of their conflicts is often questionable in real applications; hence a series of alternative combination rules were suggested and a series of papers on conflicting belief functions have been published and conflicts of belief functions started to be investigated. This theoretical contribution introduces a new definition of conflict between two belief functions on a general finite frame of discernment. Its idea is based on H´ajek-Vald´es algebraic analysis of belief functions, on our previous study of conflicts of belief functions, where internal conflicts of belief functions are distinguished from a conflict between belief functions, and on the decomposition of a belief function into its conflicting and non-conflicting parts. Basic properties of this newly defined conflict are presented, analyzed and briefly compared with our previous approaches to conflict as well as with Liu’s degree of conflict. (en)
Title	Conflict between Belief Functions: A New Measure Based on Their Non-conflicting Parts Conflict between Belief Functions: A New Measure Based on Their Non-conflicting Parts (en)
skos:prefLabel	Conflict between Belief Functions: A New Measure Based on Their Non-conflicting Parts Conflict between Belief Functions: A New Measure Based on Their Non-conflicting Parts (en)
skos:notation	RIV/67985807:_____/14:00434587!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	8602
http://linked.open...ai/riv/idVysledku	RIV/67985807:_____/14:00434587
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	belief functions; Dempster-Shafer theory; uncertainty; Dempster’s semigroup; internal conflict; conflict between belief functions; 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 belief functions Dempster’s semigroup uncertainty Dempster-Shafer theory internal conflict
http://linked.open...ontrolniKodProRIV	[C826A22B79AA]
http://linked.open...v/mistoKonaniAkce	Oxford
http://linked.open...i/riv/mistoVydani	Cham
http://linked.open...i/riv/nazevZdroje	Belief Functions: Theory and Applications
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.../riv/zahajeniAkce	2014-09-26 (xsd:date)
issn	0302-9743
number of pages	10 (xsd:int)
http://bibframe.org/vocab/doi	10.1007/978-3-319-11191-9_35
http://purl.org/ne...btex#hasPublisher	Springer-Verlag
https://schema.org/isbn	978-3-319-11190-2

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