Required mathematical properties and behaviors of uncertainty measures on belief intervals
Metadatos
Mostrar el registro completo del ítemEditorial
Wiley
Materia
Behavioral requirements Belief intervals Conflict Mathematical properties Non-specificity Uncertainty measures
Fecha
2021-05-06Referencia bibliográfica
Moral-García, S, Abellán, J. Required mathematical properties and behaviors of uncertainty measures on belief intervals. Int J Intell Syst. 2021; 1- 24. [https://doi.org/10.1002/int.22432]
Resumen
The Dempster–Shafer theory of evidence (DST) has
been widely used to handle uncertainty‐based information.
It is based on the concept of basic probability
assignment (BPA). Belief intervals are easier to
manage than a BPA to represent uncertainty‐based
information. For this reason, several uncertainty measures
for DST recently proposed are based on belief
intervals. In this study, we carry out a study about the
crucial mathematical properties and behavioral requirements
that must be verified by every uncertainty
measure on belief intervals. We base on the study
previously carried out for uncertainty measures on
BPAs. Furthermore, we analyze which of these properties
are satisfied by each one of the uncertainty
measures on belief intervals proposed so far. Such a
comparative analysis shows that, among these measures,
the maximum of entropy on the belief intervals
is the most suitable one to be employed in practical
applications since it is the only one that satisfies all the
required mathematical properties and behaviors.