If you need to have a flat sole for MMA with some grip these are the best.  I went through three different brands of wrestling/MMA shoes until I found these.  These unlike many are not bulky, they conform to your feet and ankle.  I wear a size 10.5 in mens, and bought these in 10.5, they fit fine.  My feet are actually size 10, but I've always bought a half a size up for comfort.