Q5,papre3,j12. if two fuzzy sets A and B are given with membership functions μA(x) = {0.2, 0.4, 0.8, 0.5, 0.1} μB(x) = {0.1, 0.3, 0.6, 0.3, 0.2} Then the value of μ(A∩B)’ will be

A) {0.9, 0.7, 0.4, 0.8, 0.9}
(B) {0.2, 0.4, 0.8, 0.5, 0.2}
(C) {0.1, 0.3, 0.6, 0.3, 0.1}
(D) {0.7, 0.3, 0.4, 0.2, 0.7}
Answer (A) {0.9, 0.7, 0.4, 0.8, 0.9}
Explanation. μ(A∩B)={min(.2,.1),min(.4,.3),min(.8,.6),min(.5,.3),min(.1,.2).
μ(A∩B)={.1,.3,.6,.3,.1}.
μ(A∩B)’={1-.1,1-.3,1-.6,1-.3,1-.1}.
μ(A∩B)’={0.9, 0.7, 0.4, 0.8, 0.9}.