On the Combinality of Evidence in the Dempster-Shafer Theory

TL;DR

This paper examines the combination of evidence in Dempster-Shafer theory, emphasizing the importance of source independence and exploring how the rule applies to multiple probability distributions.

Contribution

It clarifies the conditions under which Dempster-Shafer evidence combination is valid, focusing on the independence requirement and its implications.

Findings

Independence is the key restriction for combining evidence.

The rule applies to multiple probability distributions under independence.

The paper discusses limitations and applicability of the Dempster-Shafer rule.

Abstract

In the current versions of the Dempster-Shafer theory, the only essential restriction on the validity of the rule of combination is that the sources of evidence must be statistically independent. Under this assumption, it is permissible to apply the Dempster-Shafer rule to two or mere distinct probability distributions.