Outranking Relations: Do They Have Special Properties ? 1 Denis Bouyssou
نویسنده
چکیده
Outranking relations are most often built using a concordance-discordance principle. Such relations are, in general, neither transitive nor complete. This is not to say that the concordance-discordance principle does not impose some "structural" restrictions on these relations. We show why this question may be of some importance for analyzing the various techniques designed to build a recommendation on the basis of such relations. These restrictions are studied for the ELECTRE and PROMETHEE methods.
منابع مشابه
Outranking Relations: Do They Have Special Properties ? 1
Outranking relations are most often built using a concordance-discordance principle. Such relations are, in general, neither transitive nor complete. This is not to say that the concordance-discordance principle does not impose some "structural" restrictions on these relations. We show why this question may be of some importance for analyzing the various techniques designed to build a recommend...
متن کاملA note on the asymmetric part of an outranking relation
This note discusses the properties of the asymmetric part of an outranking relation a la ELECTRE. Such relations have been used in the pseudodisjunctive version of ELECTRE TRI-B. We show that they have properties that are somewhat di erent from the ones of outranking relations. Indeed, contrary to outranking relations, they allow to have at the same time veto and bonus e ects. We suggest that t...
متن کاملA consolidated approach to the axiomatization of outranking relations: a survey and new results
Outranking relations such as produced by the Electre I or II or the Tactic methods are based on a concordance and non-discordance principle that leads to declaring that an alternative is “superior” to another, if the coalition of attributes supporting this proposition is “sufficiently important” (concordance condition) and if there is no attribute that “strongly rejects” it (non-discordance con...
متن کاملOn some properties of outranking relations based on a concordance-discordance principle
The purpose of this paper is to study some properties of outranking relations based on a concordance-discordance principle. We show that, whenever the structure of the set of alternatives is sufficiently rich, imposing "nice" transitivity properties on such outranking relations always leads to a somewhat unappealing distribution of "power" among the various attributes. These results directly ap...
متن کاملOn the relationship between strict and non-strict outranking relations
Outranking relations such as produced by the Electre I or II or the Tactic methods are based on a concordance and non-discordance principle that leads to declaring that an alternative is “superior” to another, if the coalition of attributes supporting this proposition is “sufficiently important” (concordance condition) and if there is no attribute that “strongly rejects” it (non-discordance con...
متن کامل