Compute the value of adding the following two fuzzy integers :
A = {(0.3, 1), (0.6, 2), (1, 3), (0.7, 4), (0.2, 5)}
B = {(0.5, 11), (1, 12), (0.5, 13)}
Where fuzzy addition is defined as
μA+B (z) = max x + y = z(min (μA(x), μB(x)))
Then, f (A + B) is equal to
(A)
{(0.5, 12), (0.6, 13), (1, 14), (0.7, 15), (0.7, 16), (1, 17), (1, 18)}
(B)
{(0.5, 12), (0.6, 13), (1, 14), (1, 15), (1, 16), (1, 17), (1, 18)}
(C)
{(0.3, 12), (0.5, 13), (0.5, 14), (1, 15), (0.7, 16), (0.5, 17), (0.2, 18)}
(D)
{(0.3, 12), (0.5, 13), (0.6, 14), (1, 15), (0.7, 16), (0.5, 17), (0.2, 18)}
Please comment below if you find anything wrong in the above post
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