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Conflicts of Belief Functions: Continuity and Frame Resizement

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Scalable Uncertainty Management (SUM 2014)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 8720))

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Abstract

Plausibility and pignistic conflict of belief functions are briefly recalled in this study. These measures of conflict are based on two different probability transformations of belief functions, normalised plausibility of singletons Pl_C and Smets’ pignistic probability BetP.

Continuity properties and relationship of these conflict measures to extension and refinement of a frame of discernment are investigated here. A new continuous improvement of both the measures which is preserved by a frame extension is introduced. A relation of the new conflict measures to refinement of a frame of discernment is also discussed. Finally a comparison between the new measure and the two original measures as well as W. Liu’s degree of conflict cf is presented.

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Daniel, M., Ma, J. (2014). Conflicts of Belief Functions: Continuity and Frame Resizement. In: Straccia, U., Calì, A. (eds) Scalable Uncertainty Management. SUM 2014. Lecture Notes in Computer Science(), vol 8720. Springer, Cham. https://doi.org/10.1007/978-3-319-11508-5_10

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  • DOI: https://doi.org/10.1007/978-3-319-11508-5_10

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-11507-8

  • Online ISBN: 978-3-319-11508-5

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