About: Belief functions on MV-algebras of fuzzy sets: an overview

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Belief functions are the measure theoretical objects Dempster-Shafer evidence theory is based on. They are in fact totally monotone capacities, and can be regarded as a special class of measures of uncertainty used to model an agent’s degrees of belief in the occurrence of a set of events by taking into account different bodies of evidence that support those beliefs. In this chapter we present two main approaches to extending belief func- tions on Boolean algebras of events to MV-algebras of events, modelled as fuzzy sets, and we discuss several properties of these generalized mea- sures. In particular we deal with the normalization and soft-normalization problems, and on a generalization of Dempster’s rule of combination. Belief functions are the measure theoretical objects Dempster-Shafer evidence theory is based on. They are in fact totally monotone capacities, and can be regarded as a special class of measures of uncertainty used to model an agent’s degrees of belief in the occurrence of a set of events by taking into account different bodies of evidence that support those beliefs. In this chapter we present two main approaches to extending belief func- tions on Boolean algebras of events to MV-algebras of events, modelled as fuzzy sets, and we discuss several properties of these generalized mea- sures. In particular we deal with the normalization and soft-normalization problems, and on a generalization of Dempster’s rule of combination. (en)
Title	Belief functions on MV-algebras of fuzzy sets: an overview Belief functions on MV-algebras of fuzzy sets: an overview (en)
skos:prefLabel	Belief functions on MV-algebras of fuzzy sets: an overview Belief functions on MV-algebras of fuzzy sets: an overview (en)
skos:notation	RIV/67985556:_____/13:00399109!RIV14-GA0-67985556
http://linked.open...avai/predkladatel	Ústav teorie informace a automatizace AV ČR, v. v. i.
http://linked.open...avai/riv/aktivita	I P
http://linked.open...avai/riv/aktivity	I, P(GA13-20012S)
http://linked.open...vai/riv/dodaniDat	2014
http://linked.open...aciTvurceVysledku	Kroupa, Tomáš
http://linked.open.../riv/druhVysledku	C - Kapitola v knize
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ústav teorie informace a automatizace AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	63061
http://linked.open...ai/riv/idVysledku	RIV/67985556:_____/13:00399109
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	belief function; MV-algebra; fuzzy logic (en)
http://linked.open.../riv/klicoveSlovo	MV-algebra fuzzy logic belief function
http://linked.open...ontrolniKodProRIV	[9E3F650903AA]
http://linked.open...i/riv/mistoVydani	Cham
http://linked.open...vEdiceCisloSvazku	Studies in Fuzziness and Soft Computing
http://linked.open...i/riv/nazevZdroje	Non-Additive Measures: Theory and Applications
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...v/pocetStranKnihy	200 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Conditional independence structures: algebraic and geometric methods
http://linked.open...UplatneniVysledku	2013
http://linked.open...iv/tvurceVysledku	Flaminio, T. Kroupa, Tomáš Godo, L.
number of pages	28 (xsd:int)
http://bibframe.org/vocab/doi	10.1007/978-3-319-03155-2_7
http://purl.org/ne...btex#hasPublisher	Springer-Verlag
https://schema.org/isbn	978-3-319-03154-5

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