  We prove that abelian Yang-Baxter deformations of superstring coset sigma
models are equivalent to sequences of commuting TsT transformations, meaning T
dualities and coordinate shifts. Our results extend also to fermionic
deformations and fermionic T duality, and naturally lead to a TsT subgroup of
the superduality group OSp(d_b,d_b|2d_f). In cases like AdS_5 x S^5, fermionic
deformations necessarily lead to complex models. As an illustration of
inequivalent deformations, we give all six abelian deformations of AdS_3. We
comment on the possible dual field theory interpretation of these (super-)TsT
models.
