The Qualitative Characteristics of Combining Evidence with Discounting
The qualitative characteristics of the combining evidence with the help of Dempster’s rule with discounting is studied in this paper in the framework of Dempster-Shafer theory. The discount coefficient (discounting rate) characterizes the reliability of information source. The conflict between evidence and change of ignorance after applying combining rule are considered in this paper as important characteristics of quality of combining. The quantity of ignorance is estimated with the help of linear imprecision index. The set of crisp and fuzzy discounting rates for which the value of ignorance after combining does not increases is described.
KeywordsBelief functions Discount method Imprecise index
The financial support from the Government of the Russian Federation within the framework of the implementation o f the 5–100 Programme Roadmap of the National Research University Higher School of Economics is acknowledged. This work was supported by the grant 14-07-00189 of RFBR (Russian Foundation for Basic Research).
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