Many kinds of complicated crystal structures have appeared in the transition metal sulfide system. Simulation by the matrix method could explain the diffuse scattering observed in nonstoichiometric titanium sulfides with stacking faults, in Ti
1.42S
2 with short-range order of Ti vacancies, and in some channel-type composite crystals such as Ba
0.7Cr
2S
3.7 with two-directional disorder of positions of filling columns. Crystal structures of incommensurate layered composite crystal (PbS)
1.12VS
2, columnar composite crystals Ba
10/9Fe
2S
4 and Ba
9/8Fe
2S
4, and incommensurate columnar composite crystals Sr
xTiS
3 (x=1.1-1.2) were successfully analyzed based on the superspace group approach.
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