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(y)))
Then, f(A+B) is equal to
1
{(0.3,12), (0.5,13), (0.6,14), (1,15), (0.7,16), (0.5,17), (0.2,18)}
2
{(0.5,12), (0.6,13), (1,14), (0.7,15), (0.7,16), (1,17), (1,18)}
3
{(0.5,12), (0.6,13), (1,14), (1,15), (1,16), (1,17), (1,18)}
4
{(0.3,12), (0.5,13), (0.5,14), (1,15), (0.7,16), (0.5,17), (0.2,18)}