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) = maxx+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)}
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) = maxx+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)}