The Lagrange Interpolation of Trapezium Fuzzy Numbers

Interpolation methods are very popular in many practical areas. While, some times we do not know the exact value of the measured quantities, because of the inevitable measurement inaccuracy. However, we can describe the uncertainty by using fuzzy numbers. In this paper, the polynomial interpolation of trapezium fuzzy numbers is discussed. First, a general form of the polynomial with fuzzy coefficients is proposed. Then, the existence of fuzzy interpolating polynomial is proved. Finally, an example illustrates the rationality of the method and the validity of the solution.