Thank you. I found that: "Arrow originally rejected cardinal utility as a meaningful tool for expressing social welfare,and so focused his theorem on preferen

Thank you. I found that: "Arrow originally rejected cardinal utility as a meaningful tool for expressing social welfare,and so focused his theorem on preference rankings, but now states that a cardinal score system with three or four classes "is probably the best".[https://electology.org/podcasts/2012-10-06_kenneth_arrow https://electology.org/podcasts/2012-10-06_kenneth_arrow] (via wikipedia)