 Cardinal measurability with full interpersonal comparability (CFC): Two profiles \(\langle W_1, W_2 , \ldots ,W_n\rangle\) and \(\langle W^*_1, W^*_2,\ldots, W^*_n\rangle\) contain the same information whenever, for each \(i \in N\), \(W^*_i = aW_i + b\), where \(a, b\) are the same real numbers for all individuals \((a \gt 0)\).