Abstract

Currently, fuzzy systems based on fuzzy logic are being implemented in all areas of human activity. The most relevant application of fuzzy set theory is in medicine, environmental protection, disaster protection, education, and many other fields for information processing, diagnostics, evaluation, forecasting, and modeling. This trend exists because of the main feature of fuzzy systems. It consists in the fact that in addition to objective laws, subjective representations and judgments of people play an essential role in their functioning. Almost all concepts in natural language and our knowledge in most areas are fuzzy. The ability of a person to make the right decisions in real situations containing a large number of uncertainties and inaccuracies requires the creation of a mathematical theory that would take into account and model the approximate judgments of a person.

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