Integration of analysis of the hierarchical process and dempster-shafer theory for cooperative evaluation tasks

This note gives some details on the application of Saaty's Analysis of Hierarchy Process and the Dempster-Shafer theory for an evaluation problem that embeds a multicriterion decision and an expert judgement on a number of value indicators. These two tasks are assumed to be entitled to two groups of experts. The judgement matrices issued by the first group are geometrically averaged and the related criteria are prioritized by the analysis of hierarchy process. Then, the judgements from the second group of experts are translated into a fuzzy language and fused through the Dempster-Shafer theory. Finally, the masses resulting from this process are propagated up the hierarchy using the previously computed priorities.