Abstract
Abstract In this paper the generalized modus ponens is confronted with the triangular fuzzy data model. The possible representations of non-fuzzy and fuzzy single-antecedent single-consequent rules are discussed extensively. From this discussion five families of fuzzy implication operators are extracted, leading to five families of generalized modus ponens inference rules. The behaviour of these inference rules is studied when they are faced with triangular fuzzy data. It is shown that the conclusions obtained with these inference rules can be expressed in an exact analytical way.
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