This　paper　reveals　that　OWA　operator　weights　cannot　be　aggregated　by　the　weighted　arithmetic　or　geometric　average　method　in　group　decision　making.　A　preemptive　goal　programming　method　(PGPM)　is　proposed　for　aggregating　OWA　operator　weights,　which　is　an　extension　of　the　minimax　disparity　approach　developed　earlier　by　the　same　authors.　The　effectiveness　of　PGPM　is　illustrated　with　a　numerical　example.　(C)　2006　Elsevier　Inc.　All　rights　reserved.