Argument information hybrid weighted aggregation operators are investigated. On the basis of the hybrid weighted averaging (HWA) operator and the combined weighted geometric averaging (CWGA) operator, two new hybrid weighted aggregation operators such as the hybrid ordered weighted averaging (HOWA) operator and the hybrid ordered weighted geometric (HOWG) operator are proposed. Based on the generalized ordered weighted averaging (GOWA), the other two new hybrid weighted aggregation operators such as the generalized hybrid weighted averaging (GHWA) operator and the generalized hybrid weighted geometric (GHWG) operator are developed. The HWA operator and the HOWG operator are proved to be the special cases of the GHWA operator, the CWGA operator and the HOWA operator. Finally, a practical example is provided to illustrate the application of hybrid weighted aggregation operators to multiple attribute decision making.