Markov and Time-Homogeneity Properties in Dempster-Shafer Random Walks

We generalize discrete-time finite-horizon random walks in order to deal with ambiguity or mis-specification inside the framework of belief functions. Referring to the product rule of conditioning for belief functions, we propose suitable definitions of Markov and time-homogeneity properties. Moreov...

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Published inInformation Processing and Management of Uncertainty in Knowledge-Based Systems Vol. 1601; pp. 784 - 797
Main Authors Cinfrignini, Andrea, Petturiti, Davide, Vantaggi, Barbara
Format Book Chapter
LanguageEnglish
Published Switzerland Springer International Publishing AG 2022
Springer International Publishing
SeriesCommunications in Computer and Information Science
Subjects
Belief functions
Markov property
Random walk
Time-homogeneity
Online AccessGet full text
ISBN3031089707
9783031089701
ISSN1865-0929
1865-0937
DOI10.1007/978-3-031-08971-8_63

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Abstract We generalize discrete-time finite-horizon random walks in order to deal with ambiguity or mis-specification inside the framework of belief functions. Referring to the product rule of conditioning for belief functions, we propose suitable definitions of Markov and time-homogeneity properties. Moreover, we investigate to what extent such properties can be constrained by means of one-step time-homogeneity.
AbstractList We generalize discrete-time finite-horizon random walks in order to deal with ambiguity or mis-specification inside the framework of belief functions. Referring to the product rule of conditioning for belief functions, we propose suitable definitions of Markov and time-homogeneity properties. Moreover, we investigate to what extent such properties can be constrained by means of one-step time-homogeneity.
Author Cinfrignini, Andrea
Vantaggi, Barbara
Petturiti, Davide
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Bouchon-Meunier, Bernadette
Petturiti, Davide
Couso, Inés
Ślęzak, Dominik
Ciucci, Davide
Yager, Ronald R
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PublicationSubtitle 19th International Conference, IPMU 2022, Milan, Italy, July 11-15, 2022, Proceedings, Part I
PublicationTitle Information Processing and Management of Uncertainty in Knowledge-Based Systems
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Filipe, Joaquim
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Prates, Raquel Oliveira
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Snippet We generalize discrete-time finite-horizon random walks in order to deal with ambiguity or mis-specification inside the framework of belief functions....
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StartPage 784
SubjectTerms Belief functions
Markov property
Random walk
Time-homogeneity
Title Markov and Time-Homogeneity Properties in Dempster-Shafer Random Walks
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