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Combination and Soft-Normalization of Belief Functions on MV-Algebras

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Modeling Decisions for Artificial Intelligence (MDAI 2012)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 7647))

Abstract

Extending the notion of belief functions to fuzzy sets leads to the generalization of several key concepts of the classical Dempster-Shafer theory. In this paper we concentrate on characterizing normalized belief functions and their fusion by means of a generalized Dempster rule of combination. Further, we introduce soft-normalization that arises by either rising up the usual level of contradiction above 0, or by decreasing the classical level of normalization below 1.

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Author information

Authors and Affiliations

  1. IIIA Artificial Intelligence Research Institute (CSIC), Campus UAB s/n, Bellaterra, 08193, Spain

    Tommaso Flaminio & Lluís Godo

  2. Institute of Information Theory and Automation of the ASCR, Pod Vodárenskou věží 4, 182 08, Prague, Czech Republic

    Tomáš Kroupa

Authors
  1. Tommaso Flaminio
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  2. Lluís Godo
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  3. Tomáš Kroupa
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Editor information

Editors and Affiliations

  1. IIIA-CSIC, Campus UAB s/n, 08193, Bellaterra, Catalonia, Spain

    Vicenç Torra

  2. Toho Gakuen, 3-1-10, Naka, 186-0004, Kunitachi, Tokyo, Japan

    Yasuo Narukawa

  3. Universitat de Girona, Campus Montilivi, building EPS-4, 17071, Girona, Spain

    Beatriz López  & Mateu Villaret  & 

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Flaminio, T., Godo, L., Kroupa, T. (2012). Combination and Soft-Normalization of Belief Functions on MV-Algebras. In: Torra, V., Narukawa, Y., López, B., Villaret, M. (eds) Modeling Decisions for Artificial Intelligence. MDAI 2012. Lecture Notes in Computer Science(), vol 7647. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34620-0_4

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  • DOI: https://doi.org/10.1007/978-3-642-34620-0_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-34619-4

  • Online ISBN: 978-3-642-34620-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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