Qualitative Measures of Ambiguity

TL;DR

This paper proposes a qualitative measure of ambiguity to better understand uncertain knowledge, distinguishing it from probability-based uncertainty and analyzing its relationship with other uncertainty measures.

Contribution

It introduces a new qualitative ambiguity measure and explores its relationship with existing uncertainty measures, enhancing the understanding of uncertain knowledge.

Findings

Ambiguity is distinct from probability-based uncertainty.

The qualitative measure captures vagueness in judgments.

Ambiguity is an important aspect of uncertain knowledge.

Abstract

This paper introduces a qualitative measure of ambiguity and analyses its relationship with other measures of uncertainty. Probability measures relative likelihoods, while ambiguity measures vagueness surrounding those judgments. Ambiguity is an important representation of uncertain knowledge. It deals with a different, type of uncertainty modeled by subjective probability or belief.