Fuzzy sets 53

0. Let f be a map from R to R. Let A be a fuzzy set on R. Which of the following statements is/are TRUE?
1. If A is a continuous (i.e. μA(x) is continuous) then f(A) is continuous
2. If A is a fuzzy number then f(A) is fuzzy number
3. If A is normal the f(A) is normal
4. If f(A) is normal then A is normal

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