Conjoint Measurement Models for Preference Relations

Let % denote a binary relation on a product set X = X1 × X2 × · · · × Xn. Conjoint measurement searches for conditions that allow numerical representations of % to be built and possibly guarantee the uniqueness of such representations. The interest of numerical representations is obvious. They not only facilitate the manipulation of preference relations but also, in many cases, the proofs that such representations exist are constructive (or at least provide useful