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Artificial Intelligence MCQ - Fuzzy Sets

Let A and B are fuzzy subset of R. Determine if the following are true or false.

91 ^αA ∪ ^α(A) = Φ

Let A and B are fuzzy subset of R. Determine if the following are true or false.

92 ^α(A) ∪ ^α(B) = (^αA ∩ ^αB)^α

Let A be a generalized bell-shaped fuzzy number such that

and B = (b₁, b₂, b₃) be a triangular fuzzy number.
State whether the following is TRUE or FALSE

93 A is a fuzzy number if γ ∉ [a₁, a₂]

Let A be a generalized bell-shaped fuzzy number such that

and B = (b₁, b₂, b₃) be a triangular fuzzy number.
State whether the following is TRUE or FALSE

94 If γ = b₂ then A ∩_m B is a fuzzy number

Let A be a generalized bell-shaped fuzzy number such that

and B = (b₁, b₂, b₃) be a triangular fuzzy number.
State whether the following is TRUE or FALSE

95 If B = (2,4,6), a₁ = 1 a₂ = 7, α = 1, β = 1 and γ = 4, then A ⊃ B

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Question:

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…

A. 3 and 4
B. 3 and 2
C. 2 and 1
D. 1 and 4

Correct answer: A

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