A search for neutral Higgs bosons predicted in the minimal supersymmetric standard model (MSSM) for $\mu^{+} \mu^{-}$ decay channels is presented. The analysis uses data collected by the CMS experiment at the LHC in proton-proton collisions at centre-of-mass energies of 7 and 8 TeV, corresponding to integrated luminosities of 5.1 and 19.3 fb$^{-1}$, respectively. The search is sensitive to Higgs bosons produced through the gluon fusion process and in association with a bb quark pair. No statistically significant excess is observed in the $\mu^{+} \mu^{-}$ mass spectrum. Results are interpreted in the framework of several benchmark scenarios, and the data are used to set an upper limit on the MSSM parameter $\tan{ \beta}$ as a function of the mass of the pseudoscalar A boson in the range from 115 to 300 GeV. Model independent upper limits are given for the product of the cross section and branching fraction for gluon fusion and b quark associated production. They are the most stringent limits obtained to date in this channel.

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