Cross-efficiency　evaluation　is　an　effective　method　for　ranking　decision-making　units　(DMUs)　in　data　envelopment　analysis　(DEA)　and　can　be　performed　with　different　formulations　(aggressive　or　benevolent),　secondary　goals,　and　models.　This　paper　proposes　some　new　alternative　models　for　DEA　cross-efficiency　evaluation　to　provide　more　methodological　options　for　the　decision　maker　(DM)　to　choose　from.　The　proposed　new　alternative　models　are　illustrated　with　two　numerical　examples.　The　results　are　believed　to　be　more　realistic　than　those　obtained　by　the　alternative　secondary　goals　suggested　by　Liang　et　al.　[Liang,　L.,　Wu,　J.,　Cook,　W.D.　and　Zhu,　J.,　2008a.　Alternative　secondary　goals　in　DEA　cross-efficiency　evaluation.　International　Journal　of　Production　Economics　113　(2),　10251030].　©　2010　Elsevier　B.V.All　rights　reserved.