Unified forms of Triple I method

First, the present paper provides unified forms of Triple I method for fuzzy modus ponens and fuzzy modus tollens of which diverse implication operators can be employed. Second, it is clarified that, in a sense, Zadehʹs CRI method for fuzzy modus ponens can be brought into line with the unified form of the Triple I method. Lastly, a unified form of α-Triple I method is established as well, and a duality result concerning α-Triple I solutions of fuzzy modus ponens and fuzzy modus tollens is obtained.