  Tensor operators in graded representations of Z_{2}-graded Hopf algebras are
defined and their elementary properties are derived. Wigner-Eckart theorem for
irreducible tensor operators for U_{q}[osp(1\mid 2)] is proven. Examples of
tensor operators in the irreducible representation space of Hopf algebra
U_{q}[osp(1\mid 2)] are considered. The reduced matrix elements for the
irreducible tensor operators are calculated. A construction of some elements of
the center of U_{q}[osp(1\mid 2)] is given.
