Artificial Intelligence - Fuzzy Sets

Let heavy = be a fuzzy set on X where x ∈ X is amount of rainfall received in a city measured in mm and high = be a fuzzy set on Y where y ∈ Y is the amount (in lakhs) spent for damage control in event of floods. Let h_very(a) = a² for a ∈ [0,1].

For Question 77 and 78

Consider a distillation process to separate components of a mixture. Let hot = be a fuzzy set on X where x  ∈ X i the temperature measured in ⁰C, and , where y ∈ Y is the percentage of separation.
Let p₁ be the proposition ‘IF temperature is hot, THEN separation is good, ELSE separation is average’.
Note that: If P and Q else R is translated as (P ⇒ Q) ∧ (∼P ⇒ R)

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