Fuzzy sets 44

0. Let A, B be Gaussian fuzzy sets of R such that

 Which of the following statements is/are TRUE?
 1. A, B is a fuzzy number for any m1, m2, s1, s2
 2. A, B is a fuzzy number iff m1 ∈ [a1, a2], m2 ∈ [b1, b2]
 3. A ∩m B is a fuzzy number iff m1 ∈ [a1, a2], m2 ∈ [b1, b2] and m1 = m2
 4. A ∪m B is a fuzzy number iff m1 ∈ [a1, a2], m2 ∈ [b1, b2] and m1 = m2

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