Knitted device, comprising a first area, in particular a rectangular area, from which loops project and at least one second area, in particular a contiguous rectangular area, preferably two contiguous areas on either side of the first area, the second contiguous selvedge area(s) not comprising loops and being designed to allow the knitted device to be attached to a cover designed to cover a moulded object, in particular a motor vehicle seat, for example by stitching, while the first area with loops is designed to cooperate with hooks that project from the moulded object, the knitted fabric comprising a back formed by interweaving loop wale threads, or columns of stitches, and connecting threads in the weft direction, and, in the first area of loop threads knitted in the back, each loop being formed by two knitted legs in the back, two strands leaving the two legs and a top connecting the two strands, is characterised in that means are provided to prevent or combat fraying of the threads of the knitted device forming the one or more second selvedge areas.