In this paper the generalized modus ponens is confronted with the tria
ngular fuzzy data model. The possible representations of non-fuzzy and
fuzzy single-antecedent single-consequent rules are discussed extensi
vely. From this discussion five families of fuzzy implication operator
s are extracted, leading to five families of generalized modus ponens
inference rules. The behaviour of these inference rules is studied whe
n they are faced with triangular fuzzy data. It is shown that the conc
lusions obtained with these inference rules can be expressed in an exa
ct analytical way.