On the Merit of Selecting Different Belief Merging Operators

Pilar Pozos-Parra, Kevin McAreavey, Weiru Liu

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


Belief merging operators combine multiple belief bases (a profile) into a collective one. When the conjunction of belief bases is consistent, all the operators agree on the result. However, if the conjunction of belief bases is inconsistent, the results vary between operators. There is no formal manner to measure the results and decide on which operator to select. So, in this paper we propose to evaluate the result of merging operators by using three ordering relations (fairness, satisfaction and strength) over operators for a given profile. Moreover, a relation of conformity over operators is introduced in order to classify how well the operator conforms to the definition of a merging operator. By using the four proposed relations we provide a comparison of some classical merging operators and evaluate the results for some specific profiles.
Original languageEnglish
Title of host publicationScalable Uncertainty Management
Subtitle of host publicationProceedings of 7th International Conference, SUM 2013, Washington, DC, USA, September 16-18, 2013
Number of pages15
ISBN (Electronic)978-3-642-40381-1
ISBN (Print)978-3-642-40380-4
Publication statusPublished - 2013
Event7th International Conference on Scalable Uncertainty Management (SUM13) - Washington DC, United States
Duration: 16 Sep 201318 Sep 2013

Publication series

NameLecture Notes in Computer Science
PublisherSpringer Berlin Heidelberg
ISSN (Electronic)0302-9743


Conference7th International Conference on Scalable Uncertainty Management (SUM13)
Country/TerritoryUnited States
CityWashington DC


  • Belief revision
  • Inconsistency

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