approximation by fuzzy (p, q)-bernstein-chlodowskyoperators

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 lipschitztype fuzzy functions. eventually, we give an estimate for fuzzy asymptotic expansions of the fuzzy (p, q)-bernstein-chlodowsky operators.