Multiple Criteria Hierarchy Process with ELECTRE and PROMETHEE

Robust Ordinal Regression (ROR) supports Multiple Criteria Decision Process by considering all sets of parameters of an assumed preference model, that are compatible with preference information elicited by a Decision Maker (DM). As a result of ROR, one gets necessary and possible preference relations in the set of alternatives, which hold for all compatible sets of parameters, or for at least one compatible set of parameters, respectively. In this paper, we propose an extension of ELECTRE and PROMETHEE methods to the case of the hierarchy of criteria, which was never considered before. Then, we adapt ROR to the hierarchical versions of ELECTRE and PROMETHEE methods.

► We generalize ELECTRE and PROMETHEE methods to the case of hierarchy of criteria.
► The hierarchy of criteria helps decomposing complex decision problems.
► We apply Robust Ordinal Regression to hierarchical ELECTRE and PROMETHEE methods.
► Robust Ordinal Regression (ROR) yields necessary and possible preference relations.
► We get ROR preference relations for each criterion and subcriterion in the hierarchy.