The unordered set S=(1818, 8811, 1881, 1818) represents 4 distinct decimal numbers: A, B, A+B, A-B.
All "8"s denote the same digit while each "1" stands for a different digit, distinct from all the others .
What digit is not used in S ?
The missing digit in set S is 2.
I sincerely hope to posit an independent explanation of my own in the future.