With the increment of focal element numbers in discernment framework

the computation amount in DSmT will exponentially go up

which has been the bottleneck problem to block the wide application and development of DSmT.To solve this problem

in this paper

on the base of further studying several key issues of hierarchical DSmT only with singletons

an extension is done to be fit for the case that there are singletons and conflicting focal elements with assignments in hyper-power set simultaneously.The conflicting focal elements are discoupled in terms of the proportion of assignments taken by elements involved in it.This is very helpful for further processing information according to the method only with singletons.That is

these discoupled focal elements in hyper-power set are forced to group through bintree to realize the mapping from the refined hyper-power set to the coarsened one.Finally

by comparing new method with old one from different views

i.e.computation effecieny

loss of information and similarity

the superiority of new one over old one is testified well.