Cross-efficiency　evaluation　has　long　been　suggested　as　an　alternative　method　for　ranking　decision　making　units　(DMUs)　in　data　envelopment　analysis　(DEA).　This　paper　proposes　a　neutral　DEA　model　for　cross-efficiency　evaluation.　Unlike　the　aggressive　and　benevolent　formulations　in　cross-efficiency　evaluation,　the　neutral　DEA　model　determines　one　set　of　input　and　output　weights　for　each　DMU　from　its　own　point　of　view　without　being　aggressive　or　benevolent　to　the　other　DMUs.　As　a　result,　the　cross-efficiencies　computed　in　this　way　are　more　neutral,　neither　aggressive　nor　benevolent.　The　neutral　DEA　model　is　then　extended　to　a　cross-weight　evaluation,　which　seeks　a　common　set　of　weights　for　all　the　DMUs.　Numerical　examples　are　provided　to　illustrate　the　applications　of　the　neutral　DEA　model　and　the　cross-weight　evaluation　in　DEA　ranking.　(C)　2009　Elsevier　Ltd.　All　rights　reserved.