A compressor is provided including a compressor end-wall having a casing and a hub. The compressor further includes at least one set of rotor blades, one set of stator blades, and a plurality of end-wall treatments spaced apart from each other, formed in an interior surface of at least one of the casing and hub, and facing a tip of the rotor blade or stator blade. Each end-wall treatment includes a forward recess portion extending along a first axis and an aft recess portion extending along a second axis different than the first axis. The aft recess portion is joined to the corresponding forward recess portion via an intersection portion which is inclined relative to at least one of the first axis, and the second axis. The aft recess portion and/or the forward recess portion are bent from the intersection portion and inclined relative to an axial direction of the compressor.