Answer
$F \cup R$={$0.6 Alice,0.9 Brian, 0.4 Fred, 0.9 Oscar, 0.7 Rita$}
Work Step by Step
Given
F={0.6 Alice,0.9 Brian, 0.4 Fred, 0.1 Oscar, 0.5 Rita}
R = {0.4 Alice, 0.8 Brian, 0.2 Fred, 0.9 Oscar, 0.7 Rita}
The union of the sets F and R contains the same names. The degree of membership is the maximum of the degrees in the two original sets.
$Alice: max(0.6,0.4)=0.6$
$Brian: max(0.9,0.8)=0.8$
$Fred: max(0.4,0.2)=0.4$
$Oscar: max(0.1,0.9)=0.9$
$Rita: max(0.5,0.7)=0.7$
Combining this information we obtain the union:
$F \cup R$={$0.6 Alice,0.9 Brian, 0.4 Fred, 0.9 Oscar, 0.7 Rita$}
