Fairness is not a single axis.
I agree. Fairness is not something that can be measured by a "single index" but is a multidimensional vector whose weight changes depending on the situation. I will just summarize the main points in a form that can be used in practice.
Typical dimensions of fairness (e.g.)
When there are multiple axes and weighting of them, fairness is also subjective and varies from person to person because the weighting is influenced by each person's subjective values.
[Fairness is not a single axis. - fairness - Isn't there more than one axis?
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