1. | Consider a fuzzy set A defined on the interval X = [0, 10] of integers by the membership Junction
μA(x) = x / (x+2) Then the α cut corresponding to α = 0.5 will be |
a. | {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10} |
b. | {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} |
c. | {2, 3, 4, 5, 6, 7, 8, 9, 10} |
d. | None of the above |
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Answer: (c).{2, 3, 4, 5, 6, 7, 8, 9, 10})
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2. | If A and B are two fuzzy sets with membership functions:
μa(χ) ={0.2,0.5.,0.6,0.1,0.9} μb (χ)= {0.1,0.5,0.2,0.7,0.8} then the value of μa ∩ μb will be |
a. | {0.2,0.5,0.6,0.7,0.9} |
b. | {0.2, 0.5,0.2, 0.1,0.8} |
c. | {0.1, 0.5, 0.6, 0.1,0.8} |
d. | {0.1, 0.5, 0.2, 0.1,0.8} |
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Answer: (d).{0.1, 0.5, 0.2, 0.1,0.8})
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3. | The height h(A) of a fuzzy set A is defined as
h(A) = sup A(x) |
a. | h(A) = 0 |
b. | h(A) <0 |
c. | h(A)=1 |
d. | h(A)<1 |
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Answer: (c).h(A)=1)
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4. | A __________ point of a fuzzy set A is a point x ∈ X at which µA(x) = 0.5 |
a. | Core |
b. | Support |
c. | Cross-over |
d. | α - cut |
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Answer: (c).Cross-over)
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5. | Suppose the function y and a fuzzy integer number around -4 for x are given as y= (x-3)2 + 2.
Around -4 = {(2, 0.3), (3, 0.6), (4, 1), (5, 0.6), (6, 0.3)} respectively. Then f (Around -4) is given by: |
a. | {(2, 0.6), (3, 0.3), (6, 1), (11, 0.3)} |
b. | {(2, 0.6), (3, 1), (6, 1), (11, 0.3)} |
c. | {(2, 0.6), (3, 1), (6, 0.6), (11, 0.3)} |
d. | {(2, 0.6), (3, 0.3), (6, 0.6), (11, 0.3)} |
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Answer: (c).{(2, 0.6), (3, 1), (6, 0.6), (11, 0.3)})
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6. | Given U = {1,2,3,4,5,6,7}
A = {(3, 0.7), (5, 1), (6, 0.8)} then A will be: (where ~ → complement) |
a. | {(4, 0.7), (2,1), (1,0.8)} |
b. | {(4, 0.3.): (5, 0), (6. 0.2) } |
c. | {(l, 1), (2, 1), (3, 0.3), (4, 1), (6,0.2), (7, 1)} |
d. | {(3, 0.3), (6.0.2)} |
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Answer: (c).{(l, 1), (2, 1), (3, 0.3), (4, 1), (6,0.2), (7, 1)})
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7. | Consider a fuzzy set old as defined below
Old = {(20, 0.1), (30, 0.2), (40, 0.4), (50, 0.6), (60, 0.8), (70, 1), (80, 1)} Then the alpha-cut for alpha = 0.4 for the set old will be |
a. | {(40,0.4)} |
b. | {50, 60, 70, 80} |
c. | {(20, 0.1), (30, 0.2)} |
d. | {(20, 0), (30, 0), (40, 1), (50,1), (60, 1), (70, 1), (80, 1)} |
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Answer: (d).{(20, 0), (30, 0), (40, 1), (50,1), (60, 1), (70, 1), (80, 1)})
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8. | Perceptron learning, Delta learning and LMS learning are learning methods which falls under the category of |
a. | Error correction learning - learning with a teacher |
b. | Reinforcement learning - learning with a critic |
c. | Hebbian learning |
d. | Competitive learning - learning without a teacher |
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Answer: (a).Error correction learning - learning with a teacher)
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9. | Let R and S be two fuzzy relations defined as follows. Then, the resulting relation, T, which relates elements of universe x to the elements of universe z using max-min composition is given by:
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a. | (1) |
b. | (2) |
c. | (3) |
d. | (4) |
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Answer: (c).(3))
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10. | What are the following sequence of steps taken in designing a fuzzy logic machine ? |
a. | Fuzzification → Rule evaluation → Defuzzification |
b. | Fuzzification → Defuzzification → Rule evaluation |
c. | Rule evaluation → Fuzzification → Defuzzification |
d. | Rule evaluation → Defuzzification → Fuzzification |
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Answer: (a).Fuzzification → Rule evaluation → Defuzzification)
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Questions from Previous year GATE question papers
UGC NET Previous year questions and practice sets
Attempt a small test to analyze your preparation level. This GATE exam includes questions from previous year GATE papers.
Practice test for UGC NET Computer Science Paper. The questions asked in this NET practice paper are from various previous year papers.