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A fuzzy conjunction operator denoted as $t(x,y)$ and a fuzzy disjunction operator denoted as $s(x,y)$ form a dual pair if they satisfy the condition:

  1. $t(x,y) = 1-s(x,y)$
  2. $t(x,y) = s(1-x,1-y)$
  3. $t(x,y) = 1-s(1-x,1-y)$
  4. $t(x,y) = s(1+x,1+y)$
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Answer is C : According to Principle of Duality between Fuzzy Conjunction operator (AND / here t(x,y)) and fuzzy disjunction operator(OR / here s(x,y) ) , they form a dual pair if they satisfy the following condition:

1-t(x,y) = s(1-x, 1-y)

from this condition we'll get t(x,y)=1-s(1-x,1-y)

 

Answer:

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