In　a　paper　by　Cheng　[A　new　approach　for　ranking　fuzzy　numbers　by　distance　method,　Fuzzy　Sets　and　Systems　95　(1998)　307-317],　a　centroid-based　distance　method　was　suggested　for　ranking　fuzzy　numbers,　both　normal　and　non-normal,　where　the　fuzzy　numbers　are　compared　and　ranked　in　terms　of　their　Euclidean　distances　from　their　centroid　points　to　the　origin.　It　is　found　that　the　centroid　formulae　provided　by　the　above　paper　are　incorrect　and　have　led　to　some　misapplications.　In　this　paper　we　present　the　correct　centroid　formulae　for　fuzzy　numbers　and　justify　them　from　the　viewpoint　of　analytical　geometry.　A　numerical　example　demonstrates　that　Cheng＇s　formulae　can　significantly　alter　the　result　of　the　ranking　procedure.　©　2005　Elsevier　B.V.　All　rights　reserved.