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Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 90))

Abstract

In this paper, we try to study the independence concept for belief functions theory, as applied to one interpretation of this theory called the transferable belief model (TBM). In this context, two new results are given in this paper: first, the concept of belief function independence has different intuitive meaning which are non-interactivity, irrelevance and doxastic independence, second, the concepts of non-interactivity and independence are identical under a new property called irrelevance preservation under Dempster’s rule of combination.

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© 2002 Springer-Verlag Berlin Heidelberg

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Ben Yaghlane, B., Smets, P., Mellouli, K. (2002). Independence Concepts for Belief Functions. In: Bouchon-Meunier, B., Gutiérrez-Ríos, J., Magdalena, L., Yager, R.R. (eds) Technologies for Constructing Intelligent Systems 2. Studies in Fuzziness and Soft Computing, vol 90. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1796-6_4

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  • DOI: https://doi.org/10.1007/978-3-7908-1796-6_4

  • Publisher Name: Physica, Heidelberg

  • Print ISBN: 978-3-7908-2504-6

  • Online ISBN: 978-3-7908-1796-6

  • eBook Packages: Springer Book Archive

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