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. At(x,y)= 1-s(x,y)
2. Bt(x,y)= s( 1-x, 1-y)
3. Ct(x,y)= 1-s(1-x, 1-y)
4. Dt(x,y)= s( 1+x, 1+y) A α

Pick an option to check yourself, or open the answer below.

Show answer & explanation

Correct answer: C. t(x,y)= 1-s(1-x, 1-y)

Explanation

A t-norm and s-norm are dual (De Morgan) if t(x, y) = 1 − s(1 − x, 1 − y).