Interval-Valued Fuzzy Bézier Curve Interpolation Model and its Visualization

Abstract

Curve interpolation is a crucial aspect in several applications, however, traditional approaches often face difficulties in handling data uncertainty and imprecision. This study presents a new interval-valued fuzzy Bézier curve interpolation model designed to address these difficulties effectively. In this paper, interval-valued fuzzy Bézier curve interpolation is introduced. The interval-valued fuzzy control points is defined as the data points to utilizes Bézier blending algorithms to provide smooth and accurate interpolations. In addition, a visualization method is presented to aid in understanding the interpolated curves, improving the interpretation of the results. The model's practical effectiveness is demonstrated through numerical examples. This study enhances curve interpolation techniques by utilizing an interval-valued fuzzy Bézier curve interpolation model. It provides a strong solution for dealing with uncertainty and imprecision in different fields.