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76. Let A = [-5 -2 -1] and C = [-2 1 2 ] 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 → ∞x1(α) = 1 2. x2(1/3) = 3/4 3. X is a fuzzy number 4. No such X exists
2 and 3
1 and 3
4 only
1 and 2
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77. Let A = [8 9 10] and C = [-3 -2 -1] be triangular fuzzy numbers. Let X be a fuzzy set on R such that A.X + B = C and αX = [x1(α), x2(α)], then choose the INCORRECT option(s). 1. x1(1/3) + x2(1/3) = 1126/725 2. x2(1/2) - x1(1/2) = 42/343 3. X is a fuzzy number
1, 2 and 3
None of the above
78. Let P = be fuzzy sets defined on X = {50, 60, ....,100}. Let F1 = either P or Q and F2 = P or Q. Which of the following are True? 1. μF1(70) + μF1(80) = 1 2. μF1 + μF1 3. ||F1| - |F2|| = 1 4. μF1(x) = 1 for some x ∈ X
2 and 4
79. Let , be the membership function of the fuzzy set representing 'HOT' weather and be the membership function of the fuzzy set representing 'COLD' weather, where X = {x ≥ 0|x ∈ R} = Temperature measured in 0C. Suppose P be a fuzzy set representing 'Pleasant' weather i.e. 'Not too cold and not too hot' and the linguistic hedge 'too' is represented by h(a) = a3 for a ∈ [0, 1]. Which of the following is/are CORRECT?
3 and 4
80. Suppose the ripeness of a fruit is a fuzzy set with membership function for 0 ≤ x ≤ 1 where x represents its sweetness. If the inguistic hedge intensely imposes an intensifier, then which of the following is/are TRUE?
4 and 1
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be fuzzy sets defined on X = {50, 60, ....,100}. Let F1 = either P or Q and F2 = P or Q.
Which of the following are True?
1. μF1(70) + μF1(80) = 1
2. μF1 + μF1
3. ||F1| - |F2|| = 1
4. μF1(x) = 1 for some x ∈ X
, be the membership function of the fuzzy set representing 'HOT' weather and 
be the membership function of the fuzzy set representing 'COLD' weather, where X = {x ≥ 0|x ∈ R} = Temperature measured in 0C. Suppose P be a fuzzy set representing 'Pleasant' weather i.e. 'Not too cold and not too hot' and the linguistic hedge 'too' is represented by h(a) = a3 for a ∈ [0, 1]. Which of the following is/are CORRECT?
for 0 ≤ x ≤ 1 where x represents its sweetness. If the inguistic hedge intensely imposes an intensifier, then which of the following is/are TRUE?
