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UGC NET CSE | June 2013 | Part 3 | Question: 74

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If A and B are two fuzzy sets with membership functions
$\mu _A (x)=\{0.6,0.5,0.1,0.7,0.8\}$

$\mu_B(x)=\{0.9, 0.2, 0.6, 0.8, 0.5\}$

Then the value of $\mu_{\overline{A \cup B} }(x)$ will be

  1. $\{0.9, 0.5, 0.6, 0.8, 0.8\}$
  2. $\{0.6, 0.2, 0.1, 0.7, 0.5 \}$
  3. $\{0.1, 0.5, 0.4, 0.2, 0.2\}$
  4. $\{0.1, 0.5, 0.4, 0.2, 0.3 \}$
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UNION  OPERATION IN FUZZY SET TAKES MAX VALUE BETWEEN TWO.So 

here A U B={0.9,0.5,0.6,0.8,0.8}  and its complement will be calculated by subtracting each number from 1 hence ans will be 

option C    {0.1,0.5,0.4,0.2,0.2}  

hence {0.9,0.5,0.6,0.8,0.8}{0.9,0.5,0.6,0.8,0.8}

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