UGC-NET | NTA UGC NET 2019 June – II | Question 13

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:
(A) t(x,y)=1−s(x,y)
(B) t(x,y)=s(1−x,1−y)
(C) t(x,y)=1−s(1−x,1−y)
(D) t(x,y)=s(1+x,1+y)

Answer: (C)
Explanation: As we know that 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 will get t(x,y)=1-s(1-x,1-y)

So option C is correct.
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