On the Dempster-Shafer framework and new combination rules
Information Sciences: an International Journal
Probabilistic reasoning in intelligent systems: networks of plausible inference
Probabilistic reasoning in intelligent systems: networks of plausible inference
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
Principles of uncertainty: what are they? Why do we need them?
Fuzzy Sets and Systems - Special issue on nuclear engineering
Eliciting and analyzing expert judgment: a practical guide
Eliciting and analyzing expert judgment: a practical guide
Fast Algorithms for Dempster-Shafer Theory
IPMU '90 Proceedings of the 3rd International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems: Uncertainty in Knowledge Bases
Computational aspects of the Mobius transformation
UAI '90 Proceedings of the Sixth Annual Conference on Uncertainty in Artificial Intelligence
Decision making in the TBM: the necessity of the pignistic transformation
International Journal of Approximate Reasoning
Representing partial ignorance
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
On the evidential reasoning algorithm for multiple attribute decision analysis under uncertainty
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
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In a typical Multicriteria Decision Making (MCDM) problem, we need to combine the subjective opinions of a number of experts. Existing Evidential Reasoning (ER) approaches apply the Dempster-Shafer theory (DS theory) of evidence to all levels of subattributes, with the possibility of different Frame of Discernment (FOD) and compute the expected utility values directly from the combined experts' belief distributions. We introduce a two-level Transferable Belief Model (TBM) to the reasoning process and a general interval-based DS belief structure to effect reasoning under the same FOD. Within this framework, we can combine beliefs of possible subattributes and make rational decisions based on real probability distributions.