On Fuzzy Inference Systems

We propose an extension of the Takagi-Sugeno (TS) fuzzy inference system, using t-norms for aggregating the single rule outputs. In the new t-norms-TS fuzzy inference system, the pairwise synergies between rules are encoded in a rule correlation matrix computed from the activation pattern of the rule base. The rule correlation matrix is then used to modulate the parameters of the t-norms scheme in order to compensate for the effect of rule synergies, which are present in most rule bases to a higher or lesser extent.