 In the general t-norm setting, the negation is interpreted using the residuum. Namely, for a given left-continuous t-norm \(\ast\) we set \(\neg_\ast x = x\Rightarrow_\ast 0\). For the Łukasiewicz t-norm we obtain the negation \(\neg_{Ł} x = 1 - x\) (known as Łukasiewicz or the standard involutive negation) whereas for the minimum and the product t-norms we obtain the same negation (known as Gödel negation): \(\neg_\mathrm{G} 0 = 1\) and \(0\) otherwise. 