Fuzzy mathematics has broken through the shackles of metaphysics, recognizing both the explicit form of "one or the other" and the transitional form of "one or the other", so it is more widely used than traditional mathematics.
In the study of probability statistics, the statistical inference method of "inferring the whole from the local" is used. Because of the wide range of random phenomena, it is impossible and unnecessary to observe and experiment all of them. The conclusions drawn from some data should be inferred from the whole range.
It expands the field of mathematical research and forms a new direction of mathematical research. Fuzzy mathematics, as a new mathematical discipline, has a short history, but it is produced in response to the urgent needs of modern science and technology. Therefore, the research on its basic theory has attracted the attention of mathematicians and the research topics have become more and more extensive. People try to extend the concepts and conclusions of classical mathematics to fuzzy mathematics, and have achieved fruitful results: fuzzy matrix, fuzzy graph, fuzzy mapping and transformation, fuzzy probability, fuzzy programming, fuzzy logic and so on. , forming new mathematical research directions such as fuzzy analysis, fuzzy topology and fuzzy probability theory.
Applying probability theory to study the regularity of random phenomena; Strict theory proves the statistical method obtained from the experiment; And determine the applicable conditions, formulas, reliability and limitations of each method. Committed to judging the probability of a phenomenon according to a set of samples and controlling the probability of error.
It expands the application scope of mathematical thinking method and promotes the further development of other disciplines. In recent years, it has widely penetrated into all fields of science and technology.