Upon application of both the general ensemble theory and basic thermodynami
cal principles, we derive in detail the thermodynamics of strange matter wi
th density-dependent particle masses, which resolves the problem of inconsi
stencies in the thermodynamical properties of the earlier approaches. We th
en recalculate the properties of strange quark matter with this new thermod
ynamical treatment and our recently determined quark mass scaling, and find
that the density behavior of the sound velocity is opposite to the previou
s finding, but consistent with one of our recent publications. The structur
e equations for strange stars are integrated with the presently obtained eq
uation of state. We find that the mass-radius relation is similar to previo
us results except the maximum mass is smaller in our case if strange quark
matter is absolutely stable.