A new multi-criterium relational system of preferences (French)

The development of preference relational systems is a way to study decisional problems in terms of pairwise comparisons avoiding the approach based on the theory of utility. However, such systems are traditionally based on the proof of existence of a value function associated with each alternative decision and with each attribute (e.g., the case of the pseudo-order). In this paper, the concepts of generalised transitivity and of preference relational system, (hyper-order) having such a property are proposed with the aim of developing a consistent framework for pairwise comparisons without using the concept of value function for each alternative. This system is generalized to the multi-attribute case considering that the assignment of the relative importance of different criteria is again a comparison to be formulated in pairwise terms.