Generalized Modus Ponens using Fodor’s Implication and T-norm Product with Threshold

Using Generalized Modus Ponens reasoning, we examine the values of the inferred conclusion depending on the correspondence between the premise of the rule and the observed fact. The conclusion is obtained using Fodor’s implication in order to represent a fuzzy if-then rule with a single input single output and the tnorm with threshold generated by t-norm product, as a compositional operator. A comparison study with the case when the standard t-norm product is used is made. Some comments and an example are presented in order to show how the obtained results can be used