Fitting of Fuzzy Fractal Interpolation for Uncertain Data

Tackling of uncertain data is a major problem in data analysis and processing. The fuzzy theory with fuzzy numbers and fractal interpolation is employed to solve the issue of uncertainty. Sample data is used as the kernel of Gaussian fuzzy membership function and its fuzzy numbers are obtained by specifying lambda-cut. These fuzzy numbers are used as uncertain data and defined as a new kind of fuzzy interpolation points. With these interpolation points fractal interpolation method is applied to fit curve of sample data. By these definitions, the flow of interpolation approach is given, and example is illustrated to show that a novel interpolation scheme is proposed for manipulating uncertain data.