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Que. 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)}
Answer:{(20,  0),  (30,  0),  (40,   1), (50,1), (60, 1), (70, 1), (80, 1)}

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