In the process of data fusion with evidence theory

precise belief structures required in original evidence theory are not always available.At this point

approaches for combination of interval-valued belief structures is needed.Existing approaches in DST and DSmT framework are reviewed

examined and analyzed.The paper proposed four version of CDI (Distribution Conflict of Interval-valued belief structures) for combination of evidence.CDI1~CDI4 are all fit for DST and DSmT framework.The approaches can deal with imprecise and uncertain information.The accuracy of combination result from CDI1~4 improves gradually.Numerical examples and comparison of results of existing approaches for interval-valued belief structure are provided throughout the paper.