  We employ the Margenau-Hill (MH) correspondence rule for associating
classical functions with quantum operators to construct quasi-probability mass
functions. Using this we obtain the fuzzy one parameter quasi measurement
operator (QMO) characterizing the incompatibility of non-commuting spin
observables of qubits, qutrits and 2-qubit systems. Positivity of the fuzzy
MH-QMO places upper bounds on the associated unsharpness parameter. This serves
as a sufficient condition for measurement incompatibility of spin observables.
We assess the amount of unsharpness required for joint measurability
(compatibility) of the non-commuting qubit, qutrit and 2-qubit observables. We
show that the {\em degree of compatibility} of a pair of orthogonal qubit
observables agrees perfectly with the necessary and sufficient conditions for
joint measurability. Furthermore, we obtain analytical upper bounds on the
unsharpness parameter specifying the range of joint measurability of spin
components of qutrits and pairs of orthogonal spin observables of a 2-qubit
system. Our results indicate that the measurement incompatibility of spin
observables increases with Hilbert space dimension.
