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Artificial Intelligence - Fuzzy Sets

Avatto > > UGC NET COMPUTER SCIENCE > > PRACTICE QUESTIONS > > Artificial Intelligence > > Fuzzy Sets

71. Let A = [0 5 10 15], B = [6 7 8] and C = A/B. Using extension principle μC(z) = sup{a1,a2,...,anz}, where ai's are μA(x) or μB(y), x and y depends on z. Then which of the following is/are CORRECT?
1. n2 = 6
2. nz = ∞
3. n15/6 = 1

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72. Let X = {0,1,2,...,5}, A = , C = MIN(A,B) and D = MAX(A,B). Then which of the following is/are CORRECT?
1. μC(0) = 0, μD(0) = 0.4
2. μC(5) = 0.2, μD(0) = 0.8
3. |C| = 3.7
4. |D| = 4.1

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73. Let A = [2 5 6] and B = [3 8 10] triangular be fuzzy numbers. Let X be a fuzzy set on R such that A + X = B, then choose the CORRECT option(s)
1. B ∩m X and A ∩m X are triangular fuzzy numbers
2. A ∩m X is not normal
3. A ∩m X ⊆ B ∩m X
4. A ∩m X ⊇ B ∩m X

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74. Let A = [-2 0 2] and B = [2 4 6] be triangular fuzzy numbers. Let X be a fuzzy set on R such that A + X = B, then choose the CORRECT option(s).
1. X ⊂ B - A
2. X = B - A
3. X is a crisp set.
4. 6 ∈ 0.5X

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75. Let A = [3 7 9] and C = [-7 5 10 ] be triangular fuzzy numbers. Let X be a fuzzy set on R such that A.X = C and αX = [x1(α), x2(α)], then choose the INCORRECT option(s).
1. limxα → ∞x2(α) = 2.5
2. X is a fuzzy number
3. 10x1(0.5) = -2
4. X is not normal

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