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 …

A proof for the positive definiteness of the Jaccard index matrix

M Bouchard, AL Jousselme, PE Doré - International Journal of Approximate …, 2013 - Elsevier
In this paper we provide a proof for the positive definiteness of the Jaccard index matrix used
as a weighting matrix in the Euclidean distance between belief functions defined in …

Combination of sources of evidence with different discounting factors based on a new dissimilarity measure

Z Liu, J Dezert, Q Pan, G Mercier - Decision Support Systems, 2011 - Elsevier
The sources of evidence may have different reliability and importance in real applications for
decision making. The estimation of the discounting (weighting) factors when the prior …

Conflict management in Dempster–Shafer theory using the degree of falsity

J Schubert - International Journal of Approximate Reasoning, 2011 - Elsevier
In this article we develop a method for conflict management within Dempster–Shafer theory.
The idea is that each piece of evidence is discounted in proportion to the degree that it …

How to preserve the conflict as an alarm in the combination of belief functions?

E Lefevre, Z Elouedi - Decision Support Systems, 2013 - Elsevier
In the belief function framework, a unique function is induced from the use of a combination
rule so allowing to synthesize all the knowledge of the initial belief functions. When …

Weighted evidence combination based on distance of evidence and entropy function

J Wang, F **ao, X Deng, L Fei… - International journal of …, 2016 - journals.sagepub.com
Conflict management in Dempster-Shafer theory (DS theory) is a hot topic in information
fusion. In this paper, a new weighted evidence combination on the basis of the distance …

Weighted evidence combination rule based on evidence distance and uncertainty measure: An application in fault diagnosis

L Chen, L Diao, J Sang - Mathematical Problems in …, 2018 - Wiley Online Library
Conflict management in Dempster‐Shafer theory (D‐S theory) is a hot topic in information
fusion. In this paper, a novel weighted evidence combination rule based on evidence …

About conflict in the theory of belief functions

A Martin - Belief Functions: Theory and Applications: Proceedings …, 2012 - Springer
In the theory of belief functions, the conflict is an important concept. Indeed, combining
several imperfect experts or sources allows conflict. However, the mass appearing on the …

Sensor fusion based on Dempster‐Shafer theory of evidence using a large scale group decision making approach

E Koksalmis, Ö Kabak - International Journal of Intelligent …, 2020 - Wiley Online Library
In group decision making (GDM), the quality of the solution relies primarily on the quality and
the expertize of decision makers. At that point, deriving the weights, which reflects their …

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 …