Bicategories for TQFTs with defects with structure

We provide a description of adequate categorical data to give Turaev–Viro type state-sum construct invariants 3-manifolds with system defects, generalizing the Dijkgraaf–Witten our earlier work. term defects in construction defects-with-structure because algebraic associated them is general richer than module category over spherical fusion from which theory constructed when no defect present.