A few remarks on some T-conditional functions

In the classical case the inequalities that characterize those implications that reach Modus Ponens through a/spl middot/(a/spl rarr/b)=a/spl middot/b are a/spl middot/b/spl les/a/spl rarr/b/spl les/a'+b. In this paper we attempt to study some fuzzy relations verifying its generalization, that is to say, relations I verifying the inequalities T (a, b)/spl les/I (a, b)/spl les/I/sup T/ (a, b), after analyzing for what t-norms are T-conditionals.