A dimension-based representation in multicriteria decision making

Dimension Theory allows the representation of any finite set of alternatives in a real space, provided that the associated preference relation defines a partial order set. Such a representation can be very useful whenever criteria are not known, are therefore we can not even address the problem of evaluating their respective weights. In this paper we propose that the importance of underlying criteria can be approached taking into account those possible representations associated to the dimension of the binary preference relations between criteria.