Inspired by the recent experimental results which show deviations from the standard model (SM) predictions of $brightarrow s ell^+ell^-$ transitions, we study the $R$-parity violating minimal supersymmetric standard model (RPV-MSSM) extended by the inverse seesaw mechanisms. The trilinear $R$-parity violating terms together with the chiral mixings of sneutrinos induce the loop contributions to the $brightarrow s ell^+ell^-$ anomaly. We study the parameter space of the single-parameter scenario $C^{rm NP}_{9,mu}=-C^{rm NP}_{10,mu}=C_{rm V}$ and the double-parameter scenario $(C_{rm V},C_{rm U})$ respectively, constrained by other experimental data such as $B_s-bar{B}_s$ mixing, $Brightarrow X_s gamma$ decay, the lepton flavour violating decays, etc.. Both the single-parameter scenario and double-parameter scenario can resolve the long existed muon anomalous magnetic moment problem as well.
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