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In this article, we tentatively assign the $Y(4140)$, $Y(4274)$ and $X(4350)$to be the scalar and tensor $cs\bar{c}\bar{s}$ tetraquark states, respectively,and study them with the QCD sum rules. In the operator product expansion, wetake into account the vacuum condensates up to dimension-10. In calculations,we use the formula $\mu=\sqrt{M^2_{X/Y/Z}-(2{\mathbb{M}}_c)^2}$ to determinethe energy scales of the QCD spectral densities. The numerical results favorassigning the $Y(4140)$ to be the $J^{PC}=2^{++}$ diquark-antidiquark typetetraquark state, and disfavor assigning the $Y(4274)$ and $X(4350)$ to be the$0^{++}$ or $2^{++}$ tetraquark states.

Tetraquark state candidates: $Y(4140)$, $Y(4274)$ and $X(4350)$