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 …
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' …
Many authors have argued that probability theory is ill-equipped to model the 'epistemic' …
Evidence combination from an evolutionary game theory perspective
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 …
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 …
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 …
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 …
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 …
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 …
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 …
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
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 …
Efficient approaches are found in the literature, especially full metrics taking focal element …