Q74,paper 3,J1 3. If A and B are two fuzzy sets with membership functions

μA(x) = {0.6, 0.5, 0.1, 0.7, 0.8}

μB(x) = {0.9, 0.2, 0.6, 0.8, 0.5}

Then the value of μ(_{A ∪B)}^~(x) will be 

(A) {0.9, 0.5, 0.6, 0.8, 0.8}

(B) {0.6, 0.2, 0.1, 0.7, 0.5}

(C) {0.1, 0.5, 0.4, 0.2, 0.2}

(D) {0.1, 0.5, 0.4, 0.2, 0.3}

Answer C.

Explanation.

μ(_{A ∪B)}(x)={max(.6,.9),max(.2,.5),max(.1,.6),max(.7,.8),max(.8,.5)}

={.9,.5,.6,.8,.8}.

μ(_{A ∪B)}^~(x)={.1,.5,.4,.2,.2}