  The Heisenberg uncertainty principle shows that no one can specify the values
of the non-commuting canonically conjugated variables simultaneously. However,
the uncertainty relation is usually applied to two incompatible measurements.
We present tighter bounds on both entropic uncertainty relation and information
exclusion principle for multiple measurements in the presence of quantum
memory. As applications, three incompatible measurements on Werner state and
Horodecki's bound entangled state are investigated in details.
