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61. Let A be a fuzzy set with Where ⌊0⌋ denotes the floor function. Which of the following is/are CORRECT?
1 and 2
2 and 3
3 and 4
2, 3 and 4
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62. Let f be a map from X to Y. Let Ai ∈ F(x) and Bi ∈ F(Y) for i ∈ I. Which of the following is/are INCORRECT with respect to standard union and intersection? 1. f(∪i∈IAi) = ∪i∈If(Ai) 2. f(∩i∈IAi) = ∩i∈If(Ai) 3. f-1(∪i∈IBi) = ∪i∈If-1(Bi) 4. f-1(∩i∈IBi) = ∩i∈If-1(Bi)
2 only
4 only
63. Let A be a continuous fuzzy number and f is a function on R. Under which of the following conditions we can say that αf(A) = f(αA) 1. f is one-one 2. f is bijective and continuous 3. f is onto 4. f is bijective but not continuous
1 only
1, 2 and 4
64. Let f be a map from R to R. Let A be a fuzzy set on R. Which of the following statements is/are TRUE? 1. If A is a continuous (i.e. μA(x) is continuous) then f(A) is continuous 2. If A is a fuzzy number then f(A) is fuzzy number 3. If A is normal the f(A) is normal 4. If f(A) is normal then A is normal
1 and 4
65. Let X = , Y = R, f(x) = sin(x) for x ∈ X. Let A be a fuzzy subset of X. Choose the correct options:
3 only
None of the above
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, Y = R, f(x) = sin(x) for x ∈ X. Let A be a fuzzy subset of X. Choose the correct options:
