Artificial Intelligence - Fuzzy Sets

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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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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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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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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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