Before revision: If the two alternatives are x and y, the following are the possible pairwise comparisons: The agent prefers x over y: "x > y" or "xPy" The agent prefers y over x: "y > x" or "yPx" The agent is indifferent between both alternatives: "x = y" or "xIy" Probabilistic models In terms of modern psychometric theory , Thurstone's approach , called the law of comparative judgment , is more aptly regarded as a measurement model .
After revision: If the two alternatives are x and yprobabilitistic models, which include the following are the possible pairwise comparisons: The agent prefers x over y: "x > y" or "xPy" The agent prefers y over x: "y > x" or "yPx" The agent is indifferent between both alternatives: "x = y" or "xIy" Probabilistic models In terms of modern psychometric theory (also Thurstone's approach , called the law of comparative judgment ), the Bradley–Terry–Luce (BTL) model, and general stochastic transitivity models, are more aptly regarded as a measurement models .