Ordinal regression revisited: Multiple criteria ranking using a set of additive value functions

We present a new method, called UTAGMS , for multiple criteria ranking of alternatives from set A using a set of additive value functions which result from an ordinal regression. The preference information provided by the decision maker is a set of pairwise comparisons on a subset of alternatives AR A, called reference alternatives. The preference model built via ordinal regression is the set of all additive value functions compatible with the preference information. Using this model, one can define two relations in the set A: the necessary weak preference relation which holds for any two alternatives a, b from set A if and only if for all compatible value functions a is preferred to b, and the possible weak preference relation which holds for this pair if and only if for at least one compatible value function a is preferred to b. These relations establish a necessary and a possible ranking of alternatives from A, being, respectively, a partial preorder and a strongly complete relatio...

• Type: Journal
• Year: 2008
• Where: EOR
• Authors: Salvatore Greco, Vincent Mousseau, Roman Slowinski
• Keywords: Additive Value Function, EOR 2008, Preference Information, Weak Preference Relation