In this paper we develop a concept aware multi-preferential semantics for\ndealing with typicality in description logics, where preferences are associated\nwith concepts, starting from a collection of ranked TBoxes containing\ndefeasible concept inclusions. Preferences are combined to define a\npreferential interpretation in which defeasible inclusions can be evaluated.\nThe construction of the concept-aware multipreference semantics is related to\nBrewka's framework for qualitative preferences. We exploit Answer Set\nProgramming (in particular, asprin) to achieve defeasible reasoning under the\nmultipreference approach for the lightweight description logic EL+bot.\n The paper is under consideration for acceptance in TPLP.\n