Characterization of generalized (h,e)-implications based on the characterization of (f,e) and (g,e)-implications

The open problem of the characterization of generalized -implications is studied and totally solved. It is retrieved that the structure of generalized and -implications. Thus, to obtain the characterization of generalized -implications first, an axiomatic characterization of these two families is presented, and then these two results are applied to obtain an axiomatic characterization of generalized