Two views of belief: belief as generalized probability and belief as evidence
Artificial Intelligence
Decision making under incomplete data using the imprecise Dirichlet model
International Journal of Approximate Reasoning
An introduction to the imprecise Dirichlet model for multinomial data
International Journal of Approximate Reasoning
International Journal of Approximate Reasoning
A new decision-making method by incomplete preferences based on evidence distance
Knowledge-Based Systems
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A method for ranking of alternatives or objects and its extensions by incomplete pairwise comparisons using random set theory are proposed in the paper. The main feature of the method is that it allows us to deal with comparisons of arbitrary groups of alternatives. The method is extended on the case of independent groups of experts. The imprecise Dirichlet model is also used to make cautious decisions in several cases. Various numerical examples illustrate the proposed method and its extensions.