Abstract: This paper presents the state-of-the-art and the research method of the fuzzy scheduling problems,and discusses the fuzzy operation about the processing time and the due-date as well as the fuzzy scheduling system based on the fuzzy genetic algorithms.The fuzzy number operation of fuzzy genetic algorithms and the encoding of genetic algorithms are summarized,and the disadvantages of them are pointed out.At last,we show that the study on the overall problem of the fuzzy processing time and the fuzzy due-date under the fuzzy production environment will be a kind of necessary trend resulted from the global market competition.