Q28,paper 3,d13 If A and B are two fuzzy sets with membership functions

 μA(x) = {0.2, 0.5, 0.6, 0.1, 0.9}

μB(x) = {0.1, 0.5, 0.2, 0.7, 0.8}

Then the value of μA ∩ μB will be

(A) {0.2, 0.5, 0.6, 0.7, 0.9}

(B) {0.2, 0.5, 0.2, 0.1, 0.8}

(C) {0.1, 0.5, 0.6, 0.1, 0.8}

(D) {0.1, 0.5, 0.2, 0.1, 0.8}

Answer D

Explanation.

 μA ∩ μB={min(.2,.1),min(.5,.5),min(.6,.2),min(.1,.7),min(.9,.8)}