Aiming　at　the　uncertainty　and　preference　reversal　in　practical　decision　making　problems,　an　approach　for　multiattribute　decision　making　under　interval　uncertainty　is　proposed.　The　interval　assessments　are　integrated　by　the　evidential　reasoning.　Then　the　prospect　value　of　each　alternative　is　worked　out　by　using　cumulative　prospect　theory,　substituting　for　the　subjective　expected　utility　theory,　to　handle　with　preference　reversal　in　possibility　under　uncertainty,　and　the　interval　possibility　degree　is　used　to　order　all　alternatives.　The　process　of　decision　making　is　provided,　and　a　pair　of　nonlinear　programming　models　is　built　up　to　calculate　the　overall　prospect　value　of　each　alternatives.　An　example　is　given　to　illustrate　the　feasibility,　rationality　and　effectiveness　of　the　proposed　approach.　©　2016,　Editorial　Office　of　Control　and　Decision.　All　right　reserved.