Question: Consider fuzzy set A defined in X = [2, 2] as follows: Determine the membership function of the fuzzy set induced by the function f

Consider fuzzy set A defined in X = [−2, 2] as follows:

2+x if -2x0, 2 2-x HA(x)= if 0

Determine the membership function of the fuzzy set induced by the function f (x) = x2.

2+x if -2x0, 2 2-x HA(x)= if 0

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