Title
Basic Probability Assignments Representable via Belief Intervals for Singletons in Dempster-Shafer Theory
Abstract
Dempster-Shafer Theory (DST) or Evidence theory has been commonly employed in the literature to deal with uncertainty-based information. The basis of this theory is the concept of basic probability assignment (BPA). The belief intervals for singletons obtained from a BPA have recently received considerable attention for quantifying uncertainty in DST. Indeed, they are easier to manage than the corresponding BPA to represent uncertainty-based information. Nonetheless, the set of probability distributions consistent with a BPA is smaller than the one compatible with the corresponding belief intervals for singletons. In this research, we give a new characterization of BPAs representable by belief intervals for singletons. Such a characterization might be easier to check than the one provided in previous works. In practical applications, this result allows efficiently knowing when uncertainty can be represented via belief intervals for singletons rather than the associated BPA without loss of information.
Year
Venue
Keywords
2021
PROCEEDINGS OF THE TWELVETH INTERNATIONAL SYMPOSIUM ON IMPRECISE PROBABILITY: THEORIES AND APPLICATIONS
Dempster-Shafer theory, uncertainty-based information, belief intervals, basic probability assignment, focal element
DocType
Volume
ISSN
Conference
147
2640-3498
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
Serafín Moral-García104.06
Joaquín Abellán243035.94