Artificial Intelligence - Fuzzy Sets

11. Which one of the following statements is TRUE?

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12. Fig. A shows triangular membership function distribution of a Fuzzy set.

The value of membership (μ) corresponding to x = 8.0 is found to be equal to

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13. The membership function distribution of a fuzzy set is assumed to follow a Gaussian distribution with mean m = 200 and standard deviation σ = 50. Its 0.7-cut is approximately found to be as follows:

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14. Let us consider a fuzzy set A(x) = {(x1, 0.3), ((x2, 0.4), (x3, 0.5), (x4, 0.6)}. Its complement A(x) is determined as follows:

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15. Let us consider two fuzzy sets:
A(x) = {(x1, 0.2), ((x2, 0.3), (x3, 0.4), (x4, 0.5)}
A(x) = {(x1, 0.3), ((x2, 0.4), (x3, 0.5), (x4, 0.6)}.
Their intersection (A ∩ B)(x) is determined as

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