Problem
I have the sets S={1,2,3,4} and F={{1,2},{3,4}} and the measure defined by . Now I need to find two different extensions of to where P(S) is the power set of S.
What I tried
I know that both extended measures should have that and . But I do not know how to proceed from this and what I need to with . I thought ?!
Can someone help me with this