Toward a Characterization of Uncertainty Measure for the Dempster-Shafer Theory

TL;DR

This paper aims to uniquely characterize the uncertainty measure in Dempster-Shafer Theory by proposing axioms, analyzing implications, and proving the minimality of a specific measure among all satisfying these axioms.

Contribution

It introduces a set of axiomatic requirements for uncertainty measures in Dempster-Shafer Theory and proves the minimality of the AU measure within this framework.

Findings

Proposed axiomatic requirements for uncertainty measures.

Showed implications of these axioms.

Proved minimality of the AU measure.

Abstract

This is a working paper summarizing results of an ongoing research project whose aim is to uniquely characterize the uncertainty measure for the Dempster-Shafer Theory. A set of intuitive axiomatic requirements is presented, some of their implications are shown, and the proof is given of the minimality of recently proposed measure AU among all measures satisfying the proposed requirements.