Fund Project:Supported by the National Natural Science Foundation of China (Grant No.11501451) and The Fund for Talent Introduction of Northwest Minzu University (Grant No.xbmuyjrc201406).
The notion of strongly $\mathcal{W}$-Gorenstein complexes is introduced for a self-orthogonal class $\mathcal{W}$ of modules. We obtain a characterization of such complexes and apply to strongly Gorenstein injective complexes.
