Knitted device (5), in particular a knitted fabric, comprising a first area (6), in particular a rectangular area, from which loops (9) project and at least one second area (7, 8), in particular a contiguous rectangular area, preferably two contiguous areas (7, 8) on either side of the first area (6), the second contiguous border area(s) not including loops (9) and being designed to allow the knitted device to be attached to a cover (4) designed to cover a molded object (1), in particular a motor vehicle seat, for example by stitching, while the first area (6) with loops (9) is designed to cooperate with hooks (14) that project from the molded object (1), characterized in that means are provided to prevent or combat the fraying of the threads of the knitted device (5) forming the one or more second border areas (7, 8).