Abstract
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.
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