The product of capacities and belief functions

Ebbe Hendon, Hans Jørgen Jacobsen, Birgitte Sloth*, Torben Tranæs

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review


Capacities (monotone, non-additive set functions) have been suggested to describe situations of uncertainty. We examine the question of how to define the product of two independent capacities. In particular, for the product of two belief functions (totally monotone capacities), there is a unique minimal product belief function. This is characterized in several ways.

Original languageEnglish
JournalMathematical Social Sciences
Issue number2
Pages (from-to)95-108
Number of pages14
Publication statusPublished - 1. Jan 1996
Externally publishedYes


  • Belief functions
  • Capacities
  • Lower probabilities
  • Non-additive measures
  • Product measure
  • Uncertainty


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