A short note on the axiomatic requirements of uncertainty measure

TL;DR

This paper critiques the axiomatic range requirement for the aggregated total uncertainty measure in Dempster-Shafer theory, questioning its reasonableness and implications.

Contribution

It challenges the existing axiomatic assumption about the range of ATU in Dempster-Shafer theory, proposing a reconsideration of this requirement.

Findings

The range requirement for ATU may not be justified.

Questioning the axiomatic basis impacts how uncertainty is measured.

Potential implications for Dempster-Shafer theory and uncertainty modeling.

Abstract

In this note, we argue that the axiomatic requirement of range to the measure of aggregated total uncertainty (ATU) in Dempster-Shafer theory is not reasonable.