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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
1 only
2 and 3
1 and 3
3 only
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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
1 and 2
3 and 4
2 and 4
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
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
1 and 4
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
3 and 2
2 and 1
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, 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