Distances in evidence theory: Comprehensive survey and generalizations

AL Jousselme, P Maupin - International Journal of Approximate Reasoning, 2012 - Elsevier
The purpose of the present work is to survey the dissimilarity measures defined so far in the
mathematical framework of evidence theory, and to propose a classification of these …

Uncertainty measures: A critical survey

F Cuzzolin - Information Fusion, 2024 - Elsevier
Classical probability is not the only mathematical theory of uncertainty, or the most general.
Many authors have argued that probability theory is ill-equipped to model the 'epistemic' …

Evidence combination from an evolutionary game theory perspective

X Deng, D Han, J Dezert, Y Deng… - IEEE transactions on …, 2015 - ieeexplore.ieee.org
Dempster-Shafer evidence theory is a primary methodology for multisource information
fusion because it is good at dealing with uncertain information. This theory provides a …

Improvement of proportional conflict redistribution rules of combination of basic belief assignments

T Dezert, J Dezert… - Journal of Advances in …, 2021 - digitalrepository.unm.edu
This paper discusses and analyzes the behaviors of the Proportional Conflict Redistribution
rules no. 5 (PCR5) and no. 6 (PCR6) to combine several distinct sources of evidence …

Two new Bayesian approximations of belief functions based on convex geometry

F Cuzzolin - IEEE Transactions on Systems, Man, and …, 2007 - ieeexplore.ieee.org
In this paper, we analyze from a geometric perspective the meaningful relations taking place
between belief and probability functions in the framework of the geometric approach to the …

[PDF][PDF] La fusion d'informations

A Martin - Polycopié de cours ENSIETA-Réf, 2005 - people.irisa.fr
La fusion d'informations est apparue afin de gérer des quantités très importantes de
données multisources dans le domaine militaire [1, 141, 76, 77] et reste d'actualité dans ce …

[HTML][HTML] Geometric views on conflicting mass functions: From distances to angles

T Burger - International Journal of Approximate Reasoning, 2016 - Elsevier
Recently, several works have focused on the study of conflict among belief functions with a
geometric approach, trying to elaborate on the intuition that distant belief functions are more …

On the relative belief transform

F Cuzzolin - International Journal of Approximate Reasoning, 2012 - Elsevier
In this paper we discuss the semantics and properties of the relative belief transform, a
probability transformation of belief functions closely related to the classical plausibility …

Visions of a generalized probability theory

F Cuzzolin - arXiv preprint arXiv:1810.10341, 2018 - arxiv.org
In this Book we argue that the fruitful interaction of computer vision and belief calculus is
capable of stimulating significant advances in both fields. From a methodological point of …

[HTML][HTML] New distances between bodies of evidence based on dempsterian specialization matrices and their consistency with the conjunctive combination rule

M Loudahi, J Klein, JM Vannobel, O Colot - International Journal of …, 2014 - Elsevier
Distances in evidence theory are useful tools for belief function approximation or clustering.
Efficient approaches are found in the literature, especially full metrics taking focal element …