*3.3. Uncertainty Modeling*

In order to model the uncertainties incorporated into the experts' subjective answers, the concept of ordinary fuzzy number is used for each technology comparison. The benefits of this approach and the justification for its use within the AMA are described in more detail in References [4,12].

### *3.4. Problem Hierarchy Structure*

In order to capture the multi-dimensional character of the design problem, the workshop evaluations are structured by applying the FAHP suggested Buckley [48], which builds on the classical AHP by Saaty [30]. Reference [4] explains the use of the approach based on fuzzy comparisons within the AMA and the definition of necessary system hierarchies based on the problem statement.

The hierarchy used for the current workshop is exhibited in Figure 4. The organization of options and criteria in levels has been executed analogically to the problem structuring in the first workshop (see Reference [12]). The options from the same attributes are compared regarding each criterion of the level above. The generic right part of the diagram showcases the positioning of options from different attributes into separate hierarchy branches due to their incomparability.

After obtaining all option comparisons from the DMs the algorithm yields the global weights of each option according the criteria. Naturally, the comparisons are elicited only for options from the same attribute.

**Figure 4.** Hierarchical representation of the problem definition by using the AHP.
