Dempster-Shafer　theory　(DST)　of　evidence　has　wide　application　prospect　in　the　fields　of　information　aggregation　and　decision　analysis.　To　solve　the　issues　of　interval　evidence　combination　and　normalization,　we　have　reinvestigated　the　methods　provided　for　interval　evidence　combination　within　the　frameworks　of　DST　and　evidential　reasoning　(ER)　approach,　respectively,　and　pointed　out　the　shortcomings　of　existing　methods.　A　more　general　interval　evidence　combination　approach　based　on　the　ER　rule　is　constructed.　Numerical　examples　are　provided　to　indicate　that　the　proposed　method　not　only　suitable　to　the　conflict-free　interval　evidence　combination,　but　also　to　the　conflicting　interval　evidence　combination,　and　interval　evidence　specificity　can　be　kept　intact　in　the　interval　evidence　combination　process.　Moreover,　the　interval　evidence　combination　methods　based　on　DST　or　ER　are　special　cases　of　the　proposed　method　in　some　cases.　©　2019　-　IOS　Press　and　the　authors.　All　rights　reserved.