Title :
Fuzzy q-Bernstein polynomials
Author :
Wu, Xuezhi ; Zhong, Wenjuan
Author_Institution :
Libr., Capital Normal Univ., Beijing, China
Abstract :
In this note, we give the definition of the fuzzy q-Bernstein polynomials and discuss their properties. We obtain the approximation rate of the fuzzy q-Bernstein polynomials and the fuzzy limit q-Bernstein operators. We show that the fuzzy q-Bernstein polynomials have the shape-preserving properties. We also obtain the convergence rate of the fuzzy q-Bernstein polynomials for fixed q ∈ (0, 1). The surprising fact is that we can transfer results of q-Bernstein polynomials in the case q ∈ (0, 1) into the fuzzy setting.
Keywords :
convergence of numerical methods; fuzzy set theory; mathematical operators; number theory; polynomial approximation; convergence rate; fuzzy limit q-Bernstein operators; fuzzy numbers; fuzzy q-Bernstein polynomial approximation rate; shape-preserving properties; Approximation methods; Convergence; Educational institutions; Libraries; Measurement; Polynomials;
Conference_Titel :
Fuzzy Systems and Knowledge Discovery (FSKD), 2012 9th International Conference on
Conference_Location :
Sichuan
Print_ISBN :
978-1-4673-0025-4
DOI :
10.1109/FSKD.2012.6233924
