Measuring Consensus Effectiveness by a Generalized Entropy Criterion
IEEE Transactions on Pattern Analysis and Machine Intelligence
Distance measures for signal processing and pattern recognition
Signal Processing
Distances between fuzzy measures through associated probabilities: some applications
Fuzzy Sets and Systems
Consonant approximation of belief functions
International Journal of Approximate Reasoning
Approximations for efficient computation in the theory of evidence
Artificial Intelligence
Artificial Intelligence
Uncertainty-Based Information: Elements of Generalized Information Theory
Uncertainty-Based Information: Elements of Generalized Information Theory
Inner and outer approximation of belief structures using a hierarchical clustering approach
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
Uncertainty and Information: Foundations of Generalized Information Theory
Uncertainty and Information: Foundations of Generalized Information Theory
Analyzing the combination of conflicting belief functions
Information Fusion
Clustering decomposed belief functions using generalized weights of conflict
International Journal of Approximate Reasoning
Fuzzy Information Fusion Algorithm of Fault Diagnosis Based on Similarity Measure of Evidence
ISNN '08 Proceedings of the 5th international symposium on Neural Networks: Advances in Neural Networks, Part II
Analyzing the degree of conflict among belief functions
Artificial Intelligence
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Fuzzy Sets and Systems
Faithful approximations of belief functions
UAI'99 Proceedings of the Fifteenth conference on Uncertainty in artificial intelligence
Clustering approach using belief function theory
AIMSA'06 Proceedings of the 12th international conference on Artificial Intelligence: methodology, Systems, and Applications
An evidence-theoretic k-NN rule with parameter optimization
IEEE Transactions on Systems, Man, and Cybernetics, Part C: Applications and Reviews
A Geometric Approach to the Theory of Evidence
IEEE Transactions on Systems, Man, and Cybernetics, Part C: Applications and Reviews
EVCLUS: evidential clustering of proximity data
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Two New Bayesian Approximations of Belief Functions Based on Convex Geometry
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Combining ambiguous evidence with respect to ambiguous a priori knowledge. I. Boolean logic
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
The modified Dempster-Shafer approach to classification
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
A neural network classifier based on Dempster-Shafer theory
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
A proof for the positive definiteness of the Jaccard index matrix
International Journal of Approximate Reasoning
A proof for the positive definiteness of the Jaccard index matrix
International Journal of Approximate Reasoning
A belief function distance metric for orderable sets
Information Fusion
Fuzzy partitions: A way to integrate expert knowledge into distance calculations
Information Sciences: an International Journal
Selecting source behavior in information fusion on the basis of consistency and specificity
ECSQARU'13 Proceedings of the 12th European conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
Integrating textual analysis and evidential reasoning for decision making in Engineering design
Knowledge-Based Systems
Information-based dissimilarity assessment in Dempster-Shafer theory
Knowledge-Based Systems
How to preserve the conflict as an alarm in the combination of belief functions?
Decision Support Systems
A new decision-making method by incomplete preferences based on evidence distance
Knowledge-Based Systems
Engineering Applications of Artificial Intelligence
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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 measures based on their formal properties. This research is motivated by the fact that while dissimilarity measures have been widely studied and surveyed in the fields of probability theory and fuzzy set theory, no comprehensive survey is yet available for evidence theory. The main results presented herein include a synthesis of the properties of the measures defined so far in the scientific literature; the generalizations proposed naturally lead to additions to the body of the previously known measures, leading to the definition of numerous new measures. Building on this analysis, we have highlighted the fact that Dempster's conflict cannot be considered as a genuine dissimilarity measure between two belief functions and have proposed an alternative based on a cosine function. Other original results include the justification of the use of two-dimensional indexes as (cosine; distance) couples and a general formulation for this class of new indexes. We base our exposition on a geometrical interpretation of evidence theory and show that most of the dissimilarity measures so far published are based on inner products, in some cases degenerated. Experimental results based on Monte Carlo simulations illustrate interesting relationships between existing measures.