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Fuzzy sets 57

0. Let A, B be fuzzy subsets of Z and f: Z x Z → Z given by f(x,y) = ex+y.

and C = f(A, B). Which of the following is/are CORRECT? Note that for binary functions μC(z) = Sup{(x,y)|f(x,y) = z}{min(μA(x), μB(x))}
1. |c| = 5.7
2. μC(ei) < μC(ej) for i ∈ {0,1,2} and j ∈ {4,5,6}
3. μC(e2) = 1
4. μC(1) = 1/2

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