Focal elements generated by the Dempster-Shafer theoretic conditionals: A complete characterization

Thanuka L. Wickramarathne, Kamal Premaratne, Manohar N. Murthi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

10 Scopus citations

Abstract

Incorporation of soft evidence into the fusion process poses considerable challenges, including issues related to the material implications of propositional logic statements, contradictory evidence, and non-identical scopes of sources providing soft evidence. The conditional approach to Dempster-Shafer (DS) theoretic evidence updating and fusion provides a promising avenue for overcoming these challenges. However, the computation of the Fagin-Halpern (FH) conditionals utilized in the conditional evidence updating strategies is non-trivial because of the lack of a method to identify the conditional focal elements directly. The work in this paper presents a complete characterization of the conditional focal elements via a necessary and sufficient condition that identifies the explicit structure of a proposition that will remain a focal element after conditioning. We illustrate the resulting computational advantage via several experiments.

Original languageEnglish (US)
Title of host publication13th Conference on Information Fusion, Fusion 2010
PublisherIEEE Computer Society
ISBN (Print)9780982443811
DOIs
StatePublished - Jan 1 2010

Publication series

Name13th Conference on Information Fusion, Fusion 2010

Keywords

  • Belief theory
  • Conditional belief
  • Dempster-Shafer theory
  • Evidence fusion
  • Evidence updating

ASJC Scopus subject areas

  • Information Systems

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    Wickramarathne, T. L., Premaratne, K., & Murthi, M. N. (2010). Focal elements generated by the Dempster-Shafer theoretic conditionals: A complete characterization. In 13th Conference on Information Fusion, Fusion 2010 [5711938] (13th Conference on Information Fusion, Fusion 2010). IEEE Computer Society. https://doi.org/10.1109/icif.2010.5711938