There are several models of multicriteria analysis methods, but there is no common agreement on the most effective method for project selection (Archer & Ghasemzadeh, 2004). In this article, we will present a case study for the selection of projects using two families of multicriteria analysis methods namely the methods of upgrading ELECTRE II and I and utility methods, and then give a comparative summary of the two categories. Through this case study, we note that the results obtained are different depending on the method used and the intended purpose, and the choice between a method close to the Utility Theory (MAUT) and outranking method must be made according to the advantages and limitations of these categories of multicriteria analysis methods (MAM).