An improved algorithm is proposed to correct the assignments of fuzzy points for the previous fuzzy collaborative clustering. The new expression of similarity distance based on clear radius is introduced, and the hypersphere central region is used to represent one cluster instead of the traditional center. In the light of initial results of separated subsets, the membership degrees are recalculated for the fuzzy points in which wrong assignments easily occurred, and finally the more clear-cut partition is obtained. The experimental results show that the improved algorithm can reduce the fuzzy points widely distributed near the boundary and correct quite part of the wrong partitions. Moreover, the method of clear radius can simplify the parameter setting by weakening the difference of collaborative coefficients.