Abstract: In this paper, some methods of fuzzy mathematics suah as the direct method of fuzzy pattern recognition, the method of fuzzy clustering analysis the method of fuzzy information retrieval, and the recently advanced method of fuzzy fractal dimension have been applied to earthquake monitoring and prediction in the Surrounding Capital Area based on the seismicity and earthquake precursors.The seismic and unseismic precursors before both the Tangshan M=7.8 great earthquake in July, 1976 and the Datong-yanggao M=6.1 earthquake in October, 1989 occurred in thtis area were recognized and analyzed by using the given methods of fuzzy mathematics.Finally, the fuzzy methods and ways for long-term and medium-short term prediction of large earthquakes in this area were discussed briefly.