Analysis improvement of Takagi-Sugeno fuzzy rules using convexity constraints

We present a modification of the GTS (Generalized Takagi-Sugeno) model (Fiordaliso, 1996). The key idea is to constrain the conclusions of each rule to perform a convex combination of the input patterns. This constraint allows to interpret each rule as an input patterns mixer and therefore contributes to a better understanding of the system inference.