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A mathematical tool for the fuzzy identification of a system is presented. This hybrid mathematical method combines the fuzzy description of input space and the description of input‐output relations using the Bézier interpolation technique. This is a computationally simple method for designing a curve(surface). Its efficiency is expressed in its powerful application in controlling the shape of a described curve (surface), both simplifying the determination of the parameters of input‐output relations, qualititively by precision and quantitatively by decreasing the number of control points (values) required. Shows an application of the method to computer‐aided identification of the steady‐state operating points of a thermal engine.