Several Kinds Of Interpolation Methods Based On LR Fuzzy Numbers And Their Error Analysis

In practice,many measurement or experimental data need to establish a func-tional relationship to reflect the laws between variables,and in reality,a large amount of data can exist with the uncertainty of representation and calculation by fuzzy numbers.Therefore,the research on interpolation theory and method of fuzzy nu-merical functions has attracted more and more scholars' attention in recent years.This paper based on LR fuzzy numbers,Lagrange interpolation method,Newton interpolation method and Hermite interpolation method are used to construct the concrete expressions of these three kinds of fuzzy interpolation formulas.It is proved that these kinds of fuzzy interpolation polynomials are unique and The error is discussed and analyzed.Firstly,the basic concepts such as fuzzy sets and triangular fuzzy numbers are introduced.Secondly,the concrete expressions of several types of LR fuzzy interpolation formulas are constructed.Correspondingly,their error formulas are given respectively.Finally,several numerical examples are given to illustrate the effectiveness of the method constructed in this paper.