关键词: 谱聚类, 图划分, 聚类数, 文本聚类

Abstract: The applications of spectral clustering have been extended from the image separation to the field of document mining.So far certain results have been achieved.Based on spectral clustering of ascertainable clustering number，combining fuzzy theory with spectral clustering algorithm，a fuzzy spectral clustering algorithm about multiple documents clustering is proposed.The method is about solving the problem such as a document belonging to multiple document clusters at the same time.The good results are shown in the simulation experiments.

Key words: spectral clustering, graph partition, clustering number, document clustering