Decision　makers　(DMs)＇　preferences　on　decision　alternatives　are　often　characterized　by　multiplicative　or　fuzzy　preference　relations.　This　paper　proposes　a　chi-square　method　(CSM)　for　obtaining　a　priority　vector　from　multiplicative　and　fuzzy　preference　relations.　The　proposed　CSM　can　be　used　to　obtain　a　priority　vector　from　either　a　multiplicative　preference　relation　(i.e.　a　pairwise　comparison　matrix)　or　a　fuzzy　preference　relation　or　a　group　of　multiplicative　preference　relations　or　a　group　of　fuzzy　preference　relations　or　their　mixtures.　Theorems　and　algorithm　about　the　CSM　are　developed.　Three　numerical　examples　are　examined　to　illustrate　the　applications　of　the　CSM　and　its　advantages.　(c)　2006　Elsevier　B.V.　All　rights　reserved.