Fuzzy trapezoidal cubature rule and application to two-dimensional fuzzy Fredholm integral equations
The paper deals with fuzzy Fredholm integral equations (cf. e.g. [\textit{A. M. Bica}, Inf. Sci. 178, No. 5, 1279--1292 (2008; Zbl 1144.65082)]) with a double Henstock integral for fuzzy-valued functions (cf. [\textit{C. Wu} and \textit{Z. Gong}, Fuzzy Sets Syst. 120, No. 3, 523--532 (2001; Zbl 0984.28010)]). If the given fuzzy number-valued functions are Lipschitzian with respect to the Hausdorff metric, then existence, uniqueness and iterative approximations of solutions are obtained by the Banach fixed point principle. Numerical integration is considered for trapezoidal cubature what is explained by the final example.
scientific article; zbMATH DE number 6843872
scientific article