Reverse Triple I Reasoning Methods Based on the Łukasiewicz Implication

The reverse and $\alpha$-reverse triple I reasoning methods based on Łukasiewicz implication $I_{L}$ are established in new manners which correct the mistakes in the existing literature. Furthermore, the $\alpha$-reverse triple I reasoning method is extended to a new form, called $\alpha(u, v)$-reverse triple I reasoning method, which can contain the reverse triple I reasoning method as its particular case. This is another improved point to the existing results.