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In the presence of constant magnetic fields on D-branes string theory predicts that the coordinate functions of the end points of open strings satisfy
[xi,xj] = i ω aij
where x is the (bosonic) spacetime coordinate and ω is the parameter of non-commutativity.
In a more general framework one can study a geometry of spacetime that is non-commutative. Including fermions with the non-anti-commutativity relation
{θμ,θν} = i cμ ν
with θ being the fermionic coordinate and c denoting the parameter of non-anti-commutativity, one can extend this setup to non-(anti-)commutative superspace.
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