Ubi societas, ibi ius. This paper attempts to link fuzzy theory with remedying the gaps in law in applying the rules. It proposes tentative solutions to the fuzzy phenomena that often exist in the process of applying the law with the aim to make the law remedy be more objective. The basic concept of the gaps in law and a brief introduction the fuzzy cluster analysis are presented first. Continuously, the system's structural model constructed according to the fuzzy cluster analysis is proposed. Finally, the case study is illustrated.