A={(1,0.3), (2,0.6), (3, 1), (4, 0.7), (5, 0.2)}
B={(10, 0.5), (11, 1), (12, 0.5)}
μA+B(Z)=⊕x+y=z (μA(x)⊗μB(y)) is give as below (add elements of A and B while keeping the min membership value e.g. 1+10 =11 and min(0.3,0.5)=0.3 and so on for rest.
⊕ x + y = z {(11,0.3), (12,0.3) ,(13,0.3) , (12,0.5),(13,0.6),(14,0.5),(13,0.5),(14,1), (15,0.5),(14,0.5),(15,0.7),(16,0.5),(15,0.2),(16,0.2),(17,0.2)} by considering min membership value
now considering max membership value (in bold )
{(11,0.3) ,(12,0.5), (13,0.6), (14,1), (15,0.7), (16,0.5) ,(17,0.2)}
Hence ans is D