Classic Works of the Dempster-Shafer Theory of Belief Functions

Belief-Function Formulas for Audit Risk

A Study on Properties of Dempster-Shafer Theory to Probability Theory transformations

In this paper, five conditions that have been proposed by Cobb and Shenoy are studied for nine different mappings from the Dempster-Shafer theory to the probability theory. After comparing these mappings, one of the considerable results indicates that none of the mappings satisfies the condition of invariance with respect to the marginalization process. In more details, the main reason for this...

Languages and Designs for Probability Judgment

Theories of subjective probobility ore viewed OS formol longuoges for onolyz-ing evi dence ond expressing degrees of belief. This article focuses on two probobility Iongouges, the Boyesion longuoge ond the longuoge of belief functions (Shofer, 1976). We describe and compare the semantics (i.e., the meoning of the scale) ond the syntax (i.e., the formol coIcuIus) of these Ion-guoges. We also inv...

A Method for Managing Evidential Reasoning in a Hierarchical Hypothesis Space

belief function and the transferable belief model

Beliefs are the result of uncertainty. Sometimes uncertainty is because of a random process and sometimes the result of lack of information. In the past, the only solution in situations of uncertainty has been the probability theory. But the past few decades, various theories of other variables and systems are put forward for the systems with no adequate and accurate information. One of these a...