Belief Functions with Partially Ordered Values

  • Authors:

  • Ivan Kramosil

  • Affiliations:

  • -

  • Venue:
  • ECSQARU '01 Proceedings of the 6th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
  • Year:
  • 2001

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Abstract

Belief functions may be taken as an alternative to the classical probability theory, as a generalization of this theory, but also as a non-traditional and sophisticated application of probability theory. In this contribution, the idea of numerically quantified degrees of belief is abandoned in favour of the case when belief functions take their values in partially ordered sets perhaps enriched to lower or upper semilattices. Such structures seem to be the most general ones to which reasonable and nontrivial parts of the theory of belief functions can be extended and generalized.