This article presents proof of two inequalities about two measures of uncertainty of basic belief assignments, called respectively Imprecision measure and U-uncertainty measure, that have been introduced by Dubois and Prade in the 1980s. These inequalities have been considered as obvious by the authors, but to prove them rigorously requires some effort, as demonstrated in this article.
BT - Information & Security: An International Journal DA - 2022 DO - https://doi.org/10.11610/isij.5202 LA - eng N2 -This article presents proof of two inequalities about two measures of uncertainty of basic belief assignments, called respectively Imprecision measure and U-uncertainty measure, that have been introduced by Dubois and Prade in the 1980s. These inequalities have been considered as obvious by the authors, but to prove them rigorously requires some effort, as demonstrated in this article.
PY - 2022 SP - 37 EP - 51 T2 - Information & Security: An International Journal TI - On Inequalities Bounding Imprecision and Nonspecificity Measures of Uncertainty VL - 52 ER -