Fuzzy sets 52

0. Let f be a map from X to Y. Let Ai ∈ F(x) and Bi ∈ F(Y) for i ∈ I. Which of the following is/are INCORRECT with respect to standard union and intersection?
1. f(∪i∈IAi) = ∪i∈If(Ai)
2. f(∩i∈IAi) = ∩i∈If(Ai)
3. f-1(∪i∈IBi) = ∪i∈If-1(Bi)
4. f-1(∩i∈IBi) = ∩i∈If-1(Bi)

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