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  • 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
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  • RIV/67985556:_____/13:00399109
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  • belief function; MV-algebra; fuzzy logic (en)
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  • [9E3F650903AA]
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  • Cham
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  • Studies in Fuzziness and Soft Computing
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  • Non-Additive Measures: Theory and Applications
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  • Flaminio, T.
  • Kroupa, Tomáš
  • Godo, L.
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  • 10.1007/978-3-319-03155-2_7
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  • Springer-Verlag
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  • 978-3-319-03154-5
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