Esma Ozkan - Department of Mathematics, Faculty of Science, Gazi University, P.O.Box ۰۶۵۰۰, Ankara, Turkey.

In this study, we purpose to extend approximation properties of the (p,q)-Bernstein-Chlodowsky operators from real function spaces to fuzzy function spaces. Firstly, we define fuzzy (p,q)-Bernstein-Chlodowsky operators, and we give some auxiliary results. Later, we give a fuzzy Korovkin-type approximation theorem for these operators. Additionally, we investigate rate of convergence by using first order fuzzy modulus of continuity and Lipschitz-type fuzzy functions. Eventually, we give an estimate for fuzzy asymptotic expansions of the fuzzy (p,q)-Bernstein-Chlodowsky operators.

Approximation by polynomials, Modulus of continuity, Asymptotic expansions, fuzzy numbers