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In this paper we investigate the ratio of shear viscosity to entropy density,$\eta/s$, in hyperscaling violating geometry with lattice structure. We showthat the scaling relation with hyperscaling violation gives a strong constraintto the mass of graviton and usually leads to a power law of temperature,$\eta/s\sim T^\kappa$. We find the exponent $\kappa$ can be greater than twosuch that the new bound for viscosity raised in arXiv:1601.02757 is violated.Our above observation is testified by constructing specific solutions with UVcompletion in various holographic models. Finally, we compare the boundednessof $\kappa$ with the behavior of entanglement entropy and conjecture a relationbetween them.

Holographic Shear Viscosity in Hyperscaling Violating Theories without Translational Invariance