Artificial Intelligence - Fuzzy Sets

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16. Let us consider a fuzzy set A(x) = {(x₁, 0.01), ((x₂, 0.04), (x₃, 0.09)}. Its DILATION is determined

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Option : D
Explanation :

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17. Let us consider two fuzzy sets as follows:
A(x) = {(x₁, 0.2), ((x₂, 0.3), (x₃, 0.4)}
B(x) = {(x₁, 0.4), ((x₂, 0.5), (x₃, 0.6)}
Their bounded sum, A(x) ⊕ B(x) is represented as follows:

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Option : C
Explanation :

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18. Let us consider two fuzzy sets as follows:
A(x) = {(x₁, 0.2), ((x₂, 0.3), (x₃, 0.4)}
B(x) = {(x₁, 0.4), ((x₂, 0.5), (x₃, 0.6)}
Their Algebraic difference, A(x) - B(x) is determined as follows:

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Option : A
Explanation :

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19. Which one of the following statements is TRUE?

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Option : C
Explanation :

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20. Let us consider two fuzzy sets as follows:
A(x) = {(x₁, 0.2), ((x₂, 0.3), (x₃, 0.4)}
B(x) = {(x₁, 0.4), ((x₂, 0.5), (x₃, 0.6)}
Their Algebraic sum, A(x) + B(x) is determined as follows:

Answer
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Option : A
Explanation :

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