  We study two operational approaches to quantifying incompatibility that
depart significantly from the well known entropic uncertainty relation (EUR)
formalism. Both approaches result in incompatibility measures that yield
non-zero values even when the pair of incompatible observables commute over a
subspace, unlike EURs which give a zero lower bound in such cases. Here, we
explicitly show how these measures go beyond EURs in quantifying
incompatibility: For any set of quantum observables, we show that both
incompatibility measures are bounded from below by the corresponding EURs for
the Tsallis ($T_{2}$) entropy. We explicitly evaluate the incompatibility of a
pair of qubit observables in both operational scenarios. We also obtain an
efficiently computable lower bound for the mutually incompatibility of a
general set of observables.
