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 probabilitistic models, which include Thurstone's approach (also 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.
After revision: If the two lternatives 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 probabilitistic models, which include Thurstone's approach (also 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.