@misc{10481/63913,
year = {2020},
month = {6},
url = {http://hdl.handle.net/10481/63913},
abstract = {The Dempster-Shafer Theory (DST) or Evidence Theory has been commonly used to
deal with uncertainty. It is based on the basic probability assignment concept (BPA). The upper entropy
on the credal set associated with a BPA is the only uncertainty measure in DST that verifies all the
necessary mathematical properties and behaviors. Nonetheless, its computation is notably complex. For this
reason, many alternatives to this measure have been recently proposed, but they do not satisfy most of the
mathematical requirements and present some undesirable behaviors. Belief intervals have been frequently
employed to quantify uncertainty in DST in the last years, and they can represent the uncertainty-basedinformation
better than a BPA. In this research, we develop a new uncertainty measure that consists of the
maximum of entropy on the credal set corresponding to belief intervals for singletons. It verifies all the
crucial mathematical requirements and presents good behavior, solving most of the shortcomings found in
uncertainty measures proposed recently. Moreover, its calculation is notably easier than the upper entropy
on the credal set associated with the BPA. Therefore, our proposed uncertainty measure is more suitable to
be used in practical applications.},
organization = {Spanish Ministerio de Economia y Competitividad 	
TIN2016-77902-C3-2-P},
organization = {European Union (EU)

TEC2015-69496-R},
publisher = {EE-INST ELECTRICAL ELECTRONICS ENGINEERS INC},
keywords = {Dempster-Shafer Theory},
keywords = {Belief intervals},
keywords = {Uncertainty measures},
keywords = {Maximum of entropy},
keywords = {Conflict},
keywords = {Non-specificity},
title = {Maximum of entropy for belief intervals under Evidence Theory},
doi = {10.1109/ACCESS.2020.3003715},
author = {Moral García, Serafín and Abellán Mulero, Joaquín},
}