Fuzzy sets 59

0. Let A, B be fuzzy numbers, C = MIN(A, B) and D = MAX(A,B). Then which of the following is/are CORRECT?
1. μC(z) = sup{min(μA(x), μB(y))|x+y = z}
2. μC(z) = sup{min(μA(x), μB(y))|min(x,y) = z}
3. μC(z) = sup{min(μA(x), μB(y))|max(x,y) = z}
4. μC(z) = sup{max(μA(x), μB(y))|x+y = z}

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