Fuzzy mathematics is also called fuzzy mathematics. The word "FUZZY" is translated from the English word "fuzzy", which has not only vague meaning, but also ambiguous meaning. Some people advocate giving attention to both sound and meaning in translation, calling it "not clear enough" But they are not as profound as "fuzzy". Fuzzy mathematics is a mathematical theory and method to study and deal with fuzzy phenomena. The mainstream of fuzzy mathematics development lies in its application. Because the concept of fuzziness finds the description of fuzzy sets, the process of people's judgment, evaluation, reasoning, decision-making and control by using concepts can also be described by fuzzy mathematics. For example, fuzzy clustering analysis, fuzzy pattern recognition, fuzzy comprehensive evaluation, fuzzy decision-making and fuzzy prediction, fuzzy control, fuzzy information processing and so on. These methods constitute the embryonic form of fuzzy system theory and speculative mathematics, and have made concrete research achievements in the fields of medicine, meteorology, psychology, economic management, petroleum, geology, environment, biology, agriculture, forestry, chemical engineering, language, control, remote sensing, education and sports. The most important application field of fuzzy mathematics should be computer intelligence. It has been applied to expert system and knowledge engineering, played a very important role in various fields, and achieved great economic benefits. Fuzzy mathematics is a new discipline, which has been applied to fuzzy control, fuzzy identification, fuzzy intelligent cluster analysis, fuzzy decision-making, fuzzy evaluation, system theory, information retrieval, medicine, biology and other fields. There are concrete research results in meteorology, structural mechanics, control and psychology. But the most important application field of fuzzy mathematics is computer function, which many people think is closely related to the development of a new generation of computers. At present, the developed countries in the world are actively researching and trial-producing intelligent fuzzy computers. 1986, Dr. Ryder Yamakawa of Japan successfully trial-produced the fuzzy inference machine for the first time, and its inference speed was100000 times per second. 1988, under the guidance of Professor Wang Peizhuang, several Chinese doctors also successfully developed a fuzzy inference machine-a prototype of discrete components, and its inference speed is150,000 times per second. This shows that China has taken an important step in breaking through the difficulties of fuzzy information processing. Fuzzy mathematics is far from mature, and there are still different opinions and views on it, which need to be tested by practice.