In knitting, biased fabric is created by pairing increases and decreases, often at the edges of a piece, which shifts the row's stitches to the side as compared to the stitches knitted directly below them. This shift forces the rows to run at an angle, instead of horizontally.
In knitting, asymmetrical fabric is created by pairing increases and decreases, often at the edges of a piece, which causes the row's stitches to tilt to one side as compared to the stitches knitted directly below them. This tilt forces the rows to run diagonally, instead of horizontally.