tconormstnorms
T-norms and t-conorms are fundamental tools in fuzzy logic and fuzzy set theory, used to model conjunction and disjunction of fuzzy truth values. They are binary operations defined on the unit interval [0,1] that generalize the logical operations of AND and OR to degrees of truth.
A t-norm is a commutative, associative, and monotone binary operation T: [0,1]^2 -> [0,1] with the boundary
Duality between t-norms and t-conorms is captured by the relation S(x,y) = 1 - T(1 - x, 1 - y).
Prominent examples include the Gödel (minimum) t-norm T(x,y) = min(x,y) with the t-conorm S(x,y) = max(x,y); the product
These operators are used to aggregate fuzzy information in decision making, control systems, and knowledge representation,