A kind of fast approximate reasoning method in hierarchical DSmT is proposed.This method is only fit for the case that there are only singleton focal elements with assignments in hyper-power set.These focal elements in hyper-power set are forced to group through bintree or tritree technologies.At the same time
the assignments of focal elements in these different groups corresponding to each source are added up respectively
in order to realize the mapping from the refined hyper-power set to the coarsened one.And then
two sources with the coarsened hyper-power set are combined together according to DSmC(Classical DSm combination rule) and PCR5(Proportional conflict redistribution No.5).The fused results from different groups will be saved as the connecting weights between father and children nodes.And then
all assignments of focal elements in different groups will be normalized respectively.Tree depth is set
in order to decide the iterative times in hierarchical system.Finally
by comparing new method with old one from different views
the superiority of new one over old one is testified well.