Artificial Intelligence - Fuzzy Sets

81. Match the following two lists

List 1List 2
IIf Arjun is sincere then he will passP.Unconditional, Unqualified
IIArjun is bald and very short.Q.Unconditional, Qualified
IIIBheem is highly educated only if he is rich is fairly falseR.Conditional, Unqualified
IVIt is very true that Bheem is neither bald nor short.S.Conditional, Qualified

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82. Let , where X = {x ≥ 1|x ∈ R} = Age of a person. Suppose hfairly(a) = √a and hvery(a) = a2 for a ∈ [0, 1]. What is the truth value of the statement 'A man aged 55 is fairly old is very true'?

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83. Let , where X = {x ≥ 0| x ∈ R} = Weight of an object (in Kg). Suppose an airline company accepts check-in baggage which is 'slightly heavy or not very light'. If hslightly(a) = a2/3 hvery(a) = a2, for a ∈ [0, 1]. Which of the following statements is/are CORRECT?

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84. Let
Let R = If A or B, then U. Which of the following is/are correct?

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85. Let
Let E = neither C nor D (i.e ∼C ∧ ∼D) and S = if E then V. Which of the following is/are correct?
1. |S| = 24.5
2. μS(1, v) = μS(5, v) for v ∈ {a,b,...,e}
3. μS(3, a) + μS(4, a) = 1
4. μS(1, v) = μS(5, v) = 1 for v ∈ {a,b,...,e}

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