Artificial Intelligence - Fuzzy Sets

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

91. ^αA ∪ ^α(A) = Φ

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Option : B
Explanation :

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

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Option : B
Explanation :

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]

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Option : B
Explanation :

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

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Option : A
Explanation :

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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Option : A
Explanation :