Q. 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

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Q. 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

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Q. The height h(A) of a fuzzy set A is defined as

h(A) = sup A(x)

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Q. A __________ point of a fuzzy set A is a point x ∈ X at which µA(x) = 0.5

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Q. 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:

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Q. Given  U =  {1,2,3,4,5,6,7}
 
             A = {(3, 0.7), (5, 1), (6, 0.8)}
 
then A will be: (where ~ → complement)

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Q. 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

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