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UGC NET CSE | September 2013 | Part 3 | Question: 27

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Support of a fuzzy set $A= \big\{ \frac{x_1}{0.2}, \frac{x_2}{0.15}, \frac{x_3}{0.9}, \frac{x_4}{0.95}, \frac{x_5}{0.15} \big \}$ within a universal set X is given as

  1. $\big\{ \frac{x_1}{0.15}, \frac{x_2}{0.15}, \frac{x_3}{0. 15}, \frac{x_4}{0. 15}, \frac{x_5}{0.15} \big \}$
  2. $\big\{ \frac{x_1}{0.95}, \frac{x_2}{0.95}, \frac{x_3}{0. 95}, \frac{x_4}{0.915}, \frac{x_5}{0.95} \big \}$
  3. $\{x_3, x_4 \}$
  4. $\{x_1, x_2, x_3, x_4, x_5\}$
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support of a fuzzy  Definition 2. (support)  Let A be a fuzzy subset of X; the support of A, denoted supp(A), is the crisp subset of X whose elements all have non zero membership grades in A.

here in set A all elements x1, x2, x3, x4, x5 have non zero membership grade (from 0.15 to 0.90) hence its support will be option D {x1,x2,x3,x4,x5}

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