Given U = {1, 2, 3, 4, 5, 6, 7} A = {(3, 0.7), (5, 1), (6, 0.8)}
Given U = {1, 2, 3, 4, 5, 6, 7}
A = {(3, 0.7), (5, 1), (6, 0.8)}
then ~A will be : (where ~ → complement)
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Correct answer: (C) {(1, 1), (2, 1), (3, 0.3), (4, 1), (6, 0.2), & (7, 1)}
Explanation
Μ~A(x) = 1 − μA(x) for all x ∈ U. The given set A can be seen as A = {(1, 0), (2, 0), (3, 0.7), (4, 0), (5, 1), (6, 0.8), (7, 0)}. So the complement of A is {(1, 1), (2, 1), (3, 0.3), (4, 1), (6, 0.2), (7, 1)} (element 5 has membership 0). Hence the answer is (c).