Fuzzy Interpolation Rational Bezier Curve

Recently, interpolation methods especially in curves design are widely used for modeling data points. In this paper a new interpolation method for modeling fuzzy data using fuzzy interpolation rational Bezier curves is introduced based on fuzzy set theory. This method is able to model uncertainty data with definition of fuzzy data via fuzzy number concept. The fuzzy interpolation method is modeled using fuzzy interpolation rational cubic Bezier curve (in further will be referred as FIRCBC). For fuzzy n-data cases, segments curve constructed in order to interpolate fuzzy data piece wisely. For the illustration as hypothetical example, FIRCBC has been applied in verification of offline handwriting signature where the signatures become fuzzy cases.