Threshold Functions and Operations in the Theory of Evidence

The article introduces and discusses threshold belief and plausibility functions. When forming such functions, only focal elements that are “significant” for a given set are taken into account. The significance of focal elements is determined using a similarity measure and a threshold. Threshold functionals of uncertainty, external and internal conflicts, threshold rules of combination are introduced and considered on the basis of threshold functions of the theory of evidence. A number of examples are given to illustrate the use of threshold tools.