An axiomatic approach to noncompensatory sorting methods in MCDM, II: The general case

This paper is devoted to the study of methods allowing to sort multi-attributed alternatives between several ordered categories. Within a general framework that encompasses most sorting models proposed in the literature, we provide an axiomatic analysis of what we call noncompensatory sorting models, with or without veto effects. These models contain the pessimistic version of ELECTRE TRI as a particular case. Our analysis can be seen as attempt to give a firm axiomatic basis to ELECTRE TRI emphasizing its specific features, i.e., the rather poor information that is used on each attribute.