  In this paper we present (to the best of our knowledge) the first outranking
method to assign a score to each alternative. It is a method of the Electre
family, and we will call it Electre-Score. Contrarily to the Multi-Attribute
Value Theory methods, Electre-Score does not construct a value function for
each criterion, and then proceeds to the aggregation into a single value. It
rather, makes use of the outranking relations to make a comparison with
reference sets of actions (to which a score is assigned) and proposes a score
range to each alternative, instead of a single value. This is a more robust way
of proceeding given the fragility of a single score. The sets of limiting
profiles are defined with the help of Electre Tri-nB and the reference scores
are assigned to them through the application of the deck of cards technique.
The fact of being able to use outranking relations, makes it also possible to
take into account the imperfect knowledge of data and avoids systematic
compensatory effects. Some fundamental theoretical results guaranteeing the
consistency of the method and an illustrative example are also provided in this
paper.
