Title :
Optimal approximation of functions using piecewise polynomial fuzzy systems
Author_Institution :
Acad. Navale, Menzel Bourguiba, Tunisia
Abstract :
A constructive method for the design of an optimal SISO piecewise polynomial fuzzy system approximating a given real continuous function with arbitrary accuracy is proposed. Three cases are considered according to the definition of optimality. An example is given that illustrates the method and confirms the interest in considering polynomial membership functions
Keywords :
function approximation; fuzzy set theory; fuzzy systems; function approximation; fuzzy system theory; optimal SISO piecewise polynomial fuzzy system; piecewise polynomial fuzzy systems; polynomial membership functions; real continuous function; single-input single-output fuzzy systems; Approximation methods; Design methodology; Engines; Fuzzy sets; Fuzzy systems; Input variables; Polynomials; Shape;
Conference_Titel :
Fuzzy Information Processing Society, 1999. NAFIPS. 18th International Conference of the North American
Conference_Location :
New York, NY
Print_ISBN :
0-7803-5211-4
DOI :
10.1109/NAFIPS.1999.781681
