The Fuzzy Polynomial Rules
نویسنده
چکیده
We examine the properties of function approximation using polynomial rules in a fuzzy system. We show that this kind of fuzzy function approximation is equivalent to Lagrange polynomial interpolation between turning points when normalized fuzzy function memberships are used. The fuzzy inference procedure combines two polynomials of degree n and m in x into one single polynomial of at most degree max(n; m) + 1 which passes through the points of intersections of the original polynomials. We present the cases for linear and quadratic polynomials and then generalize it into polynomials of degree n.
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