UGC NET CSE | June 2012 | Part 3 | Question: 6

Question

If two fuzzy set $A$ and $B$ are given with membership functions

$\mu_A(x) = \{0.2,0.4,0.8,0.5,0.1\}$

$\mu_B(x) = \{0.1,0.3,0.6,0.3,0.2\}$

Then the value of $\mu_{\overline{A \cap B} }$ will be

• A. $\{0.9,0.7,0.4,0.8,0.9\}$
• B. $\{0.2,0.4,0.8,0.5,0.2\}$
• C. $\{0.1,0.3,0.6,0.3,0.1\}$
• D. $\{0.7,0.3,0.4,0.2,0.7\}$

Answer 1

{0.1, 0.3 , 0.6 ,0.3 , 0.1}       (min value selected from A and B )

and its complement ={0.9 ,0.7 ,0.4 ,0.7,0.9 }

FUZZY SETS UNION operation takes maximum value of two and intersection operation takes min value 

and complement means subtract from 1 (highest possible membership function)

 so ans is ={ 0.9, 0.7, 0.4, 0.7, 0.9 } none 

so here   μA∩B¯¯¯¯¯¯¯¯¯¯¯¯

 

 

 

 

Comments

So ans should be - { 0.9, 0.7, 0.4, 0.7, 0.9 } right ?