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About Conditional Belief Function Independence

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Symbolic and Quantitative Approaches to Reasoning with Uncertainty (ECSQARU 2001)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2143))

Abstract

In this paper, we study different concepts of conditional belief functions independence in the context of the transferable belief model. We especially clarify the relationships between the concepts of conditional non-interactivity, irrelevance and doxastic independence. Conditional non-interactivity is defined by the ’mathematical’ property useful for computation considerations and corresponds to decomposionality of the belief functions. Conditional irrelevance is defined by a ’common sense’ property based on conditioning. Conditional doxastic independence is defined by a particular form of irrelevance, the one preserved under Dempster’s rule of combination.

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Author information

Authors and Affiliations

  1. AMID, Université de Tunis, IHEC Carthage Présidence, 2016, Tunisia

    Boutheina Ben Yaghlane & Khaled Mellouli

  2. IRIDIA, Université Libre de Bruxelles, 50, av. F. Roosevelt, CP 194/6, 1050, Bruxelles, Belgium

    Philippe Smets

Authors
  1. Boutheina Ben Yaghlane
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  2. Philippe Smets
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  3. Khaled Mellouli
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Editor information

Editors and Affiliations

  1. Université Paul Sabatier, IRIT-CNRS, 118 route de Narbonne, 31062, Toulouse Cedex 4, France

    Salem Benferhat  & Philippe Besnard  & 

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© 2001 Springer-Verlag Berlin Heidelberg

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Yaghlane, B.B., Smets, P., Mellouli, K. (2001). About Conditional Belief Function Independence. In: Benferhat, S., Besnard, P. (eds) Symbolic and Quantitative Approaches to Reasoning with Uncertainty. ECSQARU 2001. Lecture Notes in Computer Science(), vol 2143. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44652-4_30

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  • DOI: https://doi.org/10.1007/3-540-44652-4_30

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42464-2

  • Online ISBN: 978-3-540-44652-1

  • eBook Packages: Springer Book Archive

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