Solution:t(x, y) = 1 – s(1 – x, 1 – y)
FuzzySet :A fuzzy set is that which allows its members to have different value in the set interval [0, 1]
Operations that can be performed on fuzzy set are union, intersection, complement.
Union and intersection operation in fuzzy set are equal to conjunction (AND) and disjunction operation (or) respectively.
We can consider min for conjunction and max for disjunction. Also, there are various other choices also. Such as to calculate product for conjunction and algebraic sam for disjunction operation.
If fuzzy conjunction operator is denoted as f(x, y) and fuzzy disjunction operator is denoted as s(x,y). Then it forms as dual pair if : 1 – t (x, y) = S(1 – x, 1 – y) or 1 – s (x, y) = t (1 – x, 1 – y)
Here, it means choice of fuzzy disjunction operator determines the choice of fuzzy conjunction operator and vice-versa.