Characterization of Electre I choice procedures

Abstract

This paper discusses choice procedures that select the set of best alternatives taking into account reflexive binary relations (called pseudo tournaments in the paper), such as those that can be obtained when constructing an outranking relation `a' la Electre. The paper contains interesting results which link together the second exploitation step in the Electre I outranking method with two choice procedures (Gocha and Getcha choice procedures also known in the literature as Schwartz set and Smith set respectively). A set of results that characterize some properties of the two outranking methods (ElectI and ElectIP choice procedures) is also presented.