Arithmetic and other operations on Dempster-Shafer structures
International Journal of Man-Machine Studies
The principle of minimum specificity as a basis for evidential reasoning
Processing and Management of Uncertainty in Knowledge-Based Systems on Uncertainty in knowledge-based systems. International Conference on Information
Kendall's advanced theory of statistics
Kendall's advanced theory of statistics
The dynamic of belief in the transferable belief model and specialization-generalization matrices
UAI '92 Proceedings of the eighth conference on Uncertainty in Artificial Intelligence
Artificial Intelligence
Graphical Belief Modeling
Information Algebras: Generic Structures for Inference
Information Algebras: Generic Structures for Inference
Probabilistic argumentation systems a new way to combine logic with probability
Journal of Applied Logic - Special issue on combining probability and logic
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Characterizing belief with minimum commitment
IJCAI'91 Proceedings of the 12th international joint conference on Artificial intelligence - Volume 2
Decision making in the TBM: the necessity of the pignistic transformation
International Journal of Approximate Reasoning
A linear belief function approach to portfolio evaluation
UAI'03 Proceedings of the Nineteenth conference on Uncertainty in Artificial Intelligence
Target identification based on the transferable belief model interpretation of dempster-shafer model
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
Analyzing the combination of conflicting belief functions
Information Fusion
Editorial: Special issue in memory of Philippe Smets (1938--2005)
International Journal of Approximate Reasoning
A definition of subjective possibility
International Journal of Approximate Reasoning
An algebraic theory for statistical information based on the theory of hints
International Journal of Approximate Reasoning
International Journal of Approximate Reasoning
Representing parametric probabilistic models tainted with imprecision
Fuzzy Sets and Systems
International Journal of Approximate Reasoning
Unifying practical uncertainty representations -- I: Generalized p-boxes
International Journal of Approximate Reasoning
Unifying practical uncertainty representations. II: Clouds
International Journal of Approximate Reasoning
Consonant Belief Function Induced by a Confidence Set of Pignistic Probabilities
ECSQARU '07 Proceedings of the 9th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
Extending stochastic ordering to belief functions on the real line
Information Sciences: an International Journal
Combination of partially non-distinct beliefs: The cautious-adaptive rule
International Journal of Approximate Reasoning
Practical representations of incomplete probabilistic knowledge
Computational Statistics & Data Analysis
Possibilistic information fusion using maximal coherent subsets
IEEE Transactions on Fuzzy Systems
An extension of stochastic dominance to fuzzy random variables
IPMU'10 Proceedings of the Computational intelligence for knowledge-based systems design, and 13th international conference on Information processing and management of uncertainty
Consonant continuous belief functions conflicts calculation
IPMU'10 Proceedings of the Computational intelligence for knowledge-based systems design, and 13th international conference on Information processing and management of uncertainty
Continuous belief functions to qualify sensors performances
ECSQARU'11 Proceedings of the 11th European conference on Symbolic and quantitative approaches to reasoning with uncertainty
Particle filtering in the Dempster--Shafer theory
International Journal of Approximate Reasoning
The role of fuzzy sets in decision sciences: Old techniques and new directions
Fuzzy Sets and Systems
A distance between continuous belief functions
SUM'12 Proceedings of the 6th international conference on Scalable Uncertainty Management
International Journal of Approximate Reasoning
International Journal of Approximate Reasoning
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We generalize the TBM (transferable belief model) to the case where the frame of discernment is the extended set of real numbers R=[-~,~], under the assumptions that 'masses' can only be given to intervals. Masses become densities, belief functions, plausibility functions and commonality functions become integrals of these densities and pignistic probabilities become pignistic densities. The mathematics of belief functions become essentially the mathematics of probability density functions on R^2.