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Artificial Intelligence - Fuzzy Sets Online Exam Quiz

Important questions about Artificial Intelligence - Fuzzy Sets. Artificial Intelligence - Fuzzy Sets MCQ questions with answers. Artificial Intelligence - Fuzzy Sets exam questions and answers for students and interviews.

1. Let R be a fuzzy relation on X × Y such that R(x, y) = 0.7 for some (x, y) ∈ X × Y. Which of the following is TRUE?

Options

A : R -1 (x, y) = 0.3

B : R -1 (x, y) = (0.7) -1

C : R -1 (y, x) = 0.7

D : R -1 (y, x) = 0.3

3. Let R be a fuzzy relation on X × Y and S be a fuzzy relation on Y × Z. Define the composition R 0 * S(x, z) = sup y {t * (R(x, y), S(y, z))}, where t * is a t-norm. Let X = Y = Z, which of the follwoing is/are correct?

Options

A : If t p is algebraic product, then R 0 p S = S 0 p R

B : If t b is algebraic product, then R 0 b S = S 0 b R

C : If t m is algebraic product, then R 0 m S = S 0 m R

D : None of the above

4. Let R = be a fuzzy relation on X × Y and R (n) = where R (n) = R 0 R (n-1) and 0 denotes max-min composition. Select the correct option(s) for n ≥ 2 1. R (n) = R 2. c = 0.5, e = 0.7 & f = 0.6 3. c = d & a = f 4. a,b,c,d,e & f depends on n

Options

A : 1, 2 and 4

B : 1, 3 and 4

C : 1, 2 and 3

D : 1, 2, 3 and 4

5. Let R be a fuzzy relation on X - {1,2,....,100} and Y-{50,51,....,100} defined by

Options

A : 1, 2 and 3

B : 2, 3 and 4

C : 1, 3 and 4

D : 1, 2, 3 and 4

Options

A : 0.90

B : 0.60

C : 0.40

D : 0.10

Options

A : 0.60

B : 0.50

C : 0.40

D : 0.70

Options

A : 0.30

B : 0.40

C : 0.50

D : 0.60

Options

A : 0.60

B : 0.70

C : 0.5

D : 0.4

50. Let A be a fuzzy set of R, A is a fuzzy number for which of the following membership functions?

Options

A : 1 and 3

B : 5 only

C : 2 and 4

D : None of the above

51. Let A, B be fuzzy numbers, ∪ m , ∩ m denote standard fuzzy union and intersection respectively and, ∪ a , ∩ a denote algebraic sum fuzzy union and algebraic product fuzzy intersection. Which of the following is/are fuzzy numbers? 1. A , with standard complement 2. A ∩ m B 3. A ∪ m B 4. A ∪ a B 5. A ∩ a B

Options

A : 2 and 3

B : 1 and 4

C : 3, 4 and 5

D : None of the above

52. Let A = (2,4,7) and B=(4,5,6) be triangular fuzzy numbers, ∩ d , ∪ d denote drastic intersection and union respectively. Then which of the following statements is/are correct? 1. A ∩ d B is not normal 2. A ∪ d B is not normal 3. A ∩ d B is a fuzzy number 4. A ∪ d B is a fuzzy number

Options

A : 2 only

B : 1 and 3

C : 1 and 4

D : All of the above

Options

A : 1, 3 and 4

B : 2, 3 and 4

C : 3 only

D : 4 only

Options

A : 1 only

B : 1, 2 and 3

C : 2, 3 and 4

D : 4 only

Options

A : 1 and 2

B : 2 and 3

C : 3 and 4

D : 1 and 4

Options

A : 1 and 2

B : 2 and 3

C : 3 and 4

D : 4 only

Options

A : 1, 2 and 3

B : 2 and 4

C : 3 and 4

D : 1 and 2

Options

A : 1, 2 and 3

B : 2, 3 and 4

C : 1, 3 and 4

D : 1, 2 and 4

Options

A : 1, 2 and 3

B : 2, 3 and 4

C : 1, 3 and 4

D : 1, 2 and 4

Options

A : 1 and 2

B : 1 and 3

C : 1 and 4

D : 2 and 4

Options

A : 1 and 2

B : 2 and 3

C : 3 and 4

D : 2, 3 and 4