UGC NET CSE | Junet 2015 | Part 3 | Question: 72

Question

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

• A. {(2, 0.6), (3, 0.3), (6, 1), (11, 0.3)}
• B. {(2, 0.6), (3, 1), (6, 1), (11, 0.3)}
• C. {(2, 0.6), (3, 1), (6, 0.6), (11, 0.3)}
• D. {(2, 0.6), (3, 0.3), (6, 0.6), (11, 0.3)}

Answer 1

ans should be  C

Comments

always max is taken  0.3 is already included in 1  so we can leaveit  , but reverse is not true

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but reverse is not true what rev.?

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& "incuded"?

Answer 2

It chooses max Ua(x) for same f(x).

Comments

Not exactly always, but it depends on condition given. Like in given question we have to choose fuzzy integer number that is close to 4. That's why 1 is choosen there with 3 instead of 0.3

Answer 3

{(2,0.6),(3,0.3),(6,0.6),(11,0.3)}

                   or

{(2,0.6),(3,1),(6,0.6),(11,0.3)}

 

ans C and D