Empirical Models for the Dempster-Shafer-Theory
Mieczysław A. Kłopotek, Sławomir T. Wierzchoń · Studies in fuzziness and soft computing · 2002
In spite of many useful properties, the Dempster-Shafer Theory of evidence (DST) experienced sharp criticism from many sides. The basic line of criticism is connected with the relationship between the belief function (the basic concept of DST) and frequencies [65,18]. A number of attempts to interpret belief functions in terms of probabilities have failed so far to produce a fully compatible interpretation with DST — see e.g. [34,18,14] etc. As a way out of those difficulties, in the paper we will explain our three model proposals: (1) “the marginally correct approximation”, (2) “the qualitative model”, (3) “the quantitative model”. All of them fit the framework of DST, especially the Dempster rule of combination of evidence that was the hardest point and the point of failure of previously known attempts. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.