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.　©　2019　Elsevier　B.V.