Quantum chemical calculations are performed to study the cooperativity effects between chalcogen bond and halogen bond interactions in F2S center dot center dot center dot NCX center dot center dot center dot NCY complexes, where X = F, Cl, Br, I and Y = H, F, OH. These effects are investigated in terms of geometric and energetic features of the complexes, which are computed by second-order Moller-Plesset perturbation theory (MP2). For each F2S center dot center dot center dot NCX center dot center dot center dot NCY complex studied, the effect of cooperativity on the chalcogen bond is dependent on the strength of halogen bond. The results indicate that the interaction energies of chalcogen and halogen bonds in the triads are more negative relative to the respective dyads. The interaction energy of chalcogen bond is increased by 31%-49%, whereas that of halogen bond by 28%-62%. The energy decomposition analysis reveals that electrostatic force plays a main role in the cooperativity effects between the chalcogen bond and halogen bond interactions. The topological analysis, based on the quantum theory of atoms in molecules, is used to characterise the interactions and analyse their enhancement with varying electron density at bond critical points.