Artificial Intelligence - Fuzzy Sets

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11. Which one of the following statements is TRUE?

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Option : D
Explanation :

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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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Option : B
Explanation :

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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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Option : B
Explanation :

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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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Option : C
Explanation :

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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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Option : B
Explanation :

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Fuzzy Sets

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