  Uncertainty relations and complementarity relations are core issues in
quantum mechanics and quantum information theory. By use of the generalized
Wigner-Yanase-Dyson (GWYD) skew information, we derive several uncertainty and
complementarity relations with respect to mutually unbiased measurements
(MUMs), and general symmetric informationally complete positive operator valued
measurements (SIC-POVMs), respectively. Our results include some existing ones
as particular cases. We also exemplify our results by providing a detailed
example.
