A search for neutral non-standard-model Higgs bosons decaying to two muons is presented. The search is performed in the context of the minimal supersymmetric standard model, using proton-proton collisions data recorded by CMS at the CERN Large Hadron Collider at a center-of-mass energy of 13~\mathrm{TeV}. The integrated luminosity is 35.9~\mathrm{fb}^{-1}. The search is sensitive to neutral Higgs bosons produced via gluon fusion process or in association with a $\rm b\bar{b}$ quark pair. No significant deviation from the standard model expectation is observed. A 95$\%$ confidence level upper limit is set in the context of the $m_{\rm h}^{\rm mod+}$ and hMSSM scenarios on the parameter $\tan\beta$ as a function of the pseudoscalar A boson mass, in the range from $130$ to 600~\mathrm{GeV}. The larger collected luminosity and the higher center-of-mass energy exclude a larger $m_{\mathrm{A}}$-$\tan\beta$ region, compared to what was obtained at $7$ and 8~\mathrm{TeV} by a similar analysis. The results are also used to set a model-independent limit on the product of the branching fraction for the decay into a muon pair and the cross section for the production of a scalar neutral boson, either via gluon fusion, or in association with b quarks, in the mass range from $130$ to 1000~\mathrm{GeV}.

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