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  • The study presents an introduction to algebraic structures related to belief functions (BFs) on 3-element frame of discernment. 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 the case of quasi Bayesian BFs. Dempster’s semigroup of BFs on 2-element frame of discernment by Hájek-Valdés is recalled. A new definition of Dempster’s semigroup (an algebraic structure) of BFs on 3-element frame is introduced; and its subalgebras in general, subalgebras of Bayesian BFs and of quasi Bayesian BFs are described and analysed. Ideas and open problems for future research are presented.
  • The study presents an introduction to algebraic structures related to belief functions (BFs) on 3-element frame of discernment. 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 the case of quasi Bayesian BFs. Dempster’s semigroup of BFs on 2-element frame of discernment by Hájek-Valdés is recalled. A new definition of Dempster’s semigroup (an algebraic structure) of BFs on 3-element frame is introduced; and its subalgebras in general, subalgebras of Bayesian BFs and of quasi Bayesian BFs are described and analysed. Ideas and open problems for future research are presented. (en)
Title
  • Introduction to an Algebra of Belief Functions on Three-Element Frame of Discernment - A Quasi Bayesian Case
  • Introduction to an Algebra of Belief Functions on Three-Element Frame of Discernment - A Quasi Bayesian Case (en)
skos:prefLabel
  • Introduction to an Algebra of Belief Functions on Three-Element Frame of Discernment - A Quasi Bayesian Case
  • Introduction to an Algebra of Belief Functions on Three-Element Frame of Discernment - A Quasi Bayesian Case (en)
skos:notation
  • RIV/67985807:_____/12:00379837!RIV13-GA0-67985807
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GAP202/10/1826), Z(AV0Z10300504)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 142797
http://linked.open...ai/riv/idVysledku
  • RIV/67985807:_____/12:00379837
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • belief function; Dempster-Shafer theory; Dempster’s semigroup; homomorphisms; conflict between belief functions; uncertainty (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [ABEC708182BA]
http://linked.open...v/mistoKonaniAkce
  • Catania
http://linked.open...i/riv/mistoVydani
  • Heidelberg
http://linked.open...i/riv/nazevZdroje
  • Advances in Computational Intelligence
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Daniel, Milan
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
number of pages
http://bibframe.org/vocab/doi
  • 10.1007/978-3-642-31718-7_55
http://purl.org/ne...btex#hasPublisher
  • Springer-Verlag
https://schema.org/isbn
  • 978-3-642-31717-0
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