3.2. Method of multicriteria decisi

3.2. Method of multicriteria decision making based on "relations of overrating"
This method is based on what is called "relations of overrating", which , according to existing data , represent the
preferences established by the decision maker with respect to the various criteria linked to a decision problem .
Roy, B (1985) defines a relationship of overrating as a binary relation S defined on A such that aSb . Since the
decision maker's preferences are known and given the quality of evaluations of actions and the nature of the
problem, there are enough arguments to decide that "a" is the least as good as "b" as long as there is no essential
reason to refute this assertion. The method focuses mainly on those decision problems that do not require as detailed
an analysis as the one proposed in Multiattribute Utility Theory , which requires both strong theoretical foundations
and a large amount of information related to decision maker's preferences.
The method of “overrating” may not be complete, meaning that there are two alternatives which may not be
comparable from being unable to establish a criterion to determine if an alternative is at least better than the other ,
but this does not affect the decision-making, such is the case of a choice problem where the alternative is "a" is better
than the alternative " b" and " c " and where irrelevant analyze preferences between the latter two, which may be not
comparable. Whereas a decision problem is a process in which decision maker's preferences are modified in light of
new information to be integrated, it is necessary to have the items or concepts needed to model the situation during
this process, even if some alternative result not comparable in fact to consider the existence of non- comparability in
this method to define whether a decision -making problem requires further analysis . In general, the “method of
overrating” seeks to solve decision making problems without the need to use complex mathematical theories, as well
as very detailed information on the preferences of the decision maker . It also considers that the complexity of these
problems and especially for multi-criteria case, does not ensure that a solution is optimal , but using the most
relevant information on the preferences of the decision maker can be found with this method, a set of solutions they
provide important elements of analysis for the decision maker (Alarcón , R , 2004).
Among the methods working with "relations of overrating" are the following (Vincke, P, 1989; Antún, JP, 1994):
a)