Belief functions generated by fuzzy and randomized compatibility relations

  • Authors:

  • Ivan Kramosil

  • Affiliations:

  • Institute of Computer Science, Academy of Sciences of the Czech Republic, Pod vodárenskou vezí 2, 18207 Prague 8, Czech Republic

  • Venue:
  • Fuzzy Sets and Systems - Non-additive measures and random processes
  • Year:
  • 2003

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Abstract

The standard combinatoric model of belief functions can be generalized in two ways: (1) the crisp compatibility relation is replaced by a fuzzy relation and (2) the values of crisp compatibility relation are observed through a binary information channel with noise and, perhaps, subjected to a deformation, in other terms, the original compatibility relation is replaced by its randomized modification. Both the generalizations are investigated, separately, in more detail.