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Belief Functions: A Revision of Plausibility Conflict and Pignistic Conflict

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Scalable Uncertainty Management (SUM 2013)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 8078))

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Abstract

Plausibility conflict of belief functions is based on decisional support / opposition of elements of a frame of discernment. It distinguishes conflict between belief functions from internal conflicts of individual functions.

This contribution presents a revision of plausibility conflict between belief functions. According to four types of conflicting sets, four variants of plausibility conflict are defined. Further, a new alternative approach — pignistic conflict — based on pignistic probability instead of on normalized plausibility of singletons is introduced. Its cautious version may be considered to be an improvement of Liu’s degree of conflict cf.

Comparing the approaches, a relation of sum of conflicting belief masses m ( ∅ ) and a relation of a distance of belief functions to conflict between belief functions are also discussed.

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Author information

Authors and Affiliations

  1. Institute of Computer Science, Academy of Sciences of the Czech Republic, Pod Vodárenskou věží 2, CZ . 182 07, Prague 8, Czech Republic

    Milan Daniel

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  1. Milan Daniel
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Editors and Affiliations

  1. School of Electronics, Electrical Engineering and Computer Science, Queen’s University Belfast, BT9 5BN, Belfast, UK

    Weiru Liu

  2. Department of Computer Science, University of Maryland, 20742, College Park, MD, USA

    V. S. Subrahmanian

  3. Département d’Informatique, Université de Mons, 7000, Mons, Belgium

    Jef Wijsen

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Daniel, M. (2013). Belief Functions: A Revision of Plausibility Conflict and Pignistic Conflict. In: Liu, W., Subrahmanian, V.S., Wijsen, J. (eds) Scalable Uncertainty Management. SUM 2013. Lecture Notes in Computer Science(), vol 8078. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-40381-1_15

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  • DOI: https://doi.org/10.1007/978-3-642-40381-1_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-40380-4

  • Online ISBN: 978-3-642-40381-1

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