Efficiency　overestimation　and　technology　heterogeneity　are　important　factors　that　affect　the　use　of　data　envelopment　analysis.　This　paper　introduces　a　meta-frontier　analysis　framework　into　a　cross-efficiency　method　to　develop　a　new　efficiency　evaluation　method.　This　method　can　be　used　to　calculate,　aggregate,　and　decompose　the　cross　efficiencies　relative　to　the　meta-frontier　and　group-frontier.　Then　the　technology　gap　between　these　frontiers　can　be　measured　and　more　detailed　information　regarding　the　inefficiency　of　decision-making　units　can　be　obtained.　This　enables　decision　makers　to　improve　efficiency　in　a　targeted　manner.　Subsequently,　the　non-uniqueness　of　the　optimal　solution　is　discussed　for　the　new　method,　and　the　cross-evaluation　strategy　is　introduced　to　ensure　the　stability　of　the　optimal　solution.　Finally,　two　examples　are　presented　to　illustrate　the　effectiveness　of　this　method.　(C)　2019　Elsevier　B.V.　All　rights　reserved.