Application of algebraic operations on fuzzy numbers

Abstract

The main difficulty in working with fuzzy quantities is that, even in the case of the simplest relevance functions, as a result of elementary operations carried out on them, relevance functions of a complex form requiring a large number of parameters are formed. Therefore, the article analyzes the approximation of the current relevance functions and the results of operations performed on them by triangular, exponential, and trapezoidal functions of a certain class depending on a set number of parameters. In this case, there is an opportunity to build relatively simple basic operations that do not exceed the class of selected functions.