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 
Answer: (c).{2, 3, 4, 5, 6, 7, 8, 9, 10}

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 
Answer: (d).{0.1, 0.5, 0.2, 0.1,0.8}

3.  The height h(A) of a fuzzy set A is defined as h(A) = sup A(x) 
Answer: (c).h(A)=1

4.  A __________ point of a fuzzy set A is a point x ∈ X at which µA(x) = 0.5 
Answer: (c).Crossover

5.  Suppose the function y and a fuzzy integer number around 4 for x are given as y= (x3)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: 
Answer: (c).{(2, 0.6), (3, 1), (6, 0.6), (11, 0.3)}

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) 
Answer: (c).{(l, 1), (2, 1), (3, 0.3), (4, 1), (6,0.2), (7, 1)}

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 alphacut for alpha = 0.4 for the set old will be 
Answer: (d).{(20, 0), (30, 0), (40, 1), (50,1), (60, 1), (70, 1), (80, 1)}

8.  Perceptron learning, Delta learning and LMS learning are learning methods which falls under the category of 
Answer: (a).Error correction learning  learning with a teacher

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 maxmin composition is given by: 
Answer: (c).(3)

10.  What are the following sequence of steps taken in designing a fuzzy logic machine ? 
Answer: (a).Fuzzification → Rule evaluation → Defuzzification
