Fuzzy logic is developed on the mathematical basis of fuzzy set theory founded by Professor L.A.zadeh (Zadeh) of the Department of Electrical Engineering at the University of California, Berkeley, USA in 1965, which mainly includes fuzzy set theory, fuzzy logic, fuzzy reasoning and fuzzy control. As early as 1920s, Russell, a famous philosopher and mathematician, wrote a paper on fuzziness. He believes that all natural languages are vague. For example, the concepts of "red" and "old" have no clear connotation and extension, so they are ambiguous and vague. However, in a specific environment, people can get information when describing a specific object with these concepts, which rarely causes misunderstanding and ambiguity. Professor L.A.Zadeh of the University of California published a famous paper in 1965. In this paper, an important concept to express the fuzziness of things-membership function is put forward for the first time, which breaks through the classical set theory of Cantor 19 and lays the foundation of fuzziness theory.

1966 P.N.Marinos published a research report on fuzzy logic, and 1974 L.A.Zadeh published a research report on fuzzy reasoning. Since then, fuzzy theory has become a hot topic.

1974, E.H.Mamdani of Britain realized the world's first experimental steam engine control with fuzzy logic and fuzzy reasoning for the first time, and achieved better results than the traditional direct digital control algorithm, thus announcing the birth of fuzzy control. 1980, Danish L.P.Holmblad and Ostergard adopted fuzzy control in cement kiln and achieved success, which was the first commercial fuzzy controller with practical significance.