Computer Engineering Soft Computing MCQs with answers Page - 11

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Q. The values of the set membership is represented by

  • (A) discrete set
  • (B) degree of truth
  • (C) probabilities
  • (D) both degree of truth & probabilities

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Q. Given U = {1,2,3,4,5,6,7} A = {(3, 0.7), (5, 1), (6, 0.8)} then A will be: (where ~ → complement)

  • (A) {(4, 0.7), (2,1), (1,0.8)
  • (B) {(4, 0.3.): (5, 0), (6
  • (C) {(l, 1), (2, 1), (3, 0.3)
  • (D) {(3, 0.3), (6.0.2)}

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Q. If A and B are two fuzzy sets with membership functions
μA(x) = {0.6, 0.5, 0.1, 0.7, 0.8}
μB(x) = {0.9, 0.2, 0.6, 0.8, 0.5}
Then the value of μ(A∪B)’(x) will be

  • (A) {0.9, 0.5, 0.6, 0.8, 0.8
  • (B) {0.6, 0.2, 0.1, 0.7,
  • (C) {0.1, 0.5, 0.4, 0.2, 0.
  • (D) {0.1, 0.5, 0.4, 0.2, 0.3}

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Q. Compute the value of adding the following two fuzzy integers:
A = {(0.3,1), (0.6,2), (1,3), (0.7,4), (0.2,5)} B = {(0.5,11), (1,12), (0.5,13)}
Where fuzzy addition is defined as
μA+B(z) = maxx+y=z (min(μA(x), μB(x))) Then, f(A+B) is equal to

  • (A) {(0.5,12), (0.6,13), (1,
  • (B) {(0.5,12), (0.6,13),
  • (C) {(0.3,12), (0.5,13), (
  • (D) {(0.3,12), (0.5,13), (0.6

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Q. A U (B U C) =

  • (A) (a ∩ b) ∩ (a ∩ c)
  • (B) (a ∪ b ) ∪ c
  • (C) (a ∪ b) ∩ (a ∪ c)
  • (D) b ∩ a ∪ c

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Q. Consider a fuzzy set A defined on the interval X = [0, 10] of integers by the membership Junction μA(x) = x / (x+2) Then the α cut corresponding to α = 0.5 will be

  • (A) {0, 1, 2, 3, 4, 5, 6, 7, 8
  • (B) {1, 2, 3, 4, 5, 6, 7,
  • (C) {2, 3, 4, 5, 6, 7, 8, 9,
  • (D) none of the above

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Q. The fuzzy proposition "IF X is E then Y is F" is a

  • (A) conditional unqualifi
  • (B) unconditional unq
  • (C) conditional qualifie
  • (D) unconditional qualified

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Q. Choose the correct statement
1. A fuzzy set is a crisp set but the reverse is not true
2. If A,B and C are three fuzzy sets defined over the same universe of discourse such that A ≤ B and B ≤ C and A ≤ C
3. Membership function defines the fuzziness in a fuzzy set irrespecive of the elements in the set, which are discrete or continuous

  • (A) 1 only
  • (B) 2 and 3
  • (C) 1,2 and 3
  • (D) none of these

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Q. An equivalence between Fuzzy vs Probability to that of Prediction vs Forecasting is

  • (A) fuzzy ≈ prediction
  • (B) fuzzy ≈ forecastin
  • (C) probability ≈ foreca
  • (D) none of these

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Q. Both fuzzy logic and artificial neural network are soft computing techniques because

  • (A) both gives precise an
  • (B) ann gives accura
  • (C) in each, no precise
  • (D) fuzzy gives exact resul

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