  In this paper, we consider the recently introduced application of the Deck of
Cards Method (DCM) to ordinal regression proposing an extension to Robust
Ordinal Regression and Stochastic Multiattribute Acceptability Analysis. In
Multiple Criteria Decision Aiding context, the proposed methodology permits to
assign a value to each alternative evaluated on a set of criteria
hierarchically structured. The Decision Maker can provide precise or imprecise
information at different levels of the hierarchy of criteria using the
classical DCM framework. This information is therefore used to infer a value
function compatible with it. The compatible value function can be a simple
weighted sum, a piecewise linear value function, a general monotonic value
function, or a Choquet integral. To provide robust recommendations to the
Decision Maker, we consider the Robust Ordinal Regression and the Stochastic
Multicriteria Acceptability Analysis because, even if in different ways, both
of them take into account the whole set of models compatible with the
preference information provided by the Decision Maker. The applicability of the
proposed methodology is shown by a didactic example in which Italian regions
are evaluated on criteria representing Circular Economy, Innovation Driven
Development and Smart Specialization Strategies.
