Three　aspects　of　problems　such　as　reasonable　weight　constraint,　cumulative　weight　effect　and　relative　weight　equivalence　cannot　be　well　reflected　in　the　evidential　reasoning　(ER)　approach.　In　order　to　solve　the　above　problems,　a　contrary　support　is　defined　to　restrict　the　degree　influenced　by　the　evidence　to　be　combined　in　combination　process.　Then　pair-weighted　and　cumulative　pair-weighted　discounting　methods　are　presented　to　generate　basic　probability　assignment　(BPA)　for　evidence.　Pair-wised　and　recursive　combination　rules　are　established　to　make　combination　with　the　BPA　of　evidence　by　orthogonal　sum　operation　and　several　theorems　such　as　relative　weight　equivalence　are　proved.　A　combination　algorithm　is　proposed　to　solve　multiple　criteria　decision　making　(MCDM)　problems　by　integrating　pignistic　probability　and　expected　utility　with　the　established　combination　rules.　Finally,　an　illustrative　example　is　provided　to　demonstrate　the　applicability　of　the　proposed　combination　rules　and　algorithm.　©　2017　Elsevier　Ltd