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Previous Year Question (PYQs)



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:





Solution

For fuzzy conjunction and fuzzy disjunction to be dual, they must satisfy De Morgan type relation.

The duality condition is:

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



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