Approximation of Picture Fuzzy Bézier Curve Model

This paper presents a new picture fuzzy set approach to modeling of B´ezier curve approximation. To produce the picture fuzzy control point, the notion is used to describe the point relation of the picture fuzzy set (PFS). The new picture fuzzy control point is combined with the B´ezier function to create a model of the picture fuzzy B´ezier curve. Subsequently, the approximation curves comprising the positive, neutral, negative, and refusal membership curves are displayed. A numerical example has been used to approximate the picture fuzzy B´ezier curve model for the illustration. Consequently, in the conclusion of this paper, an approach to obtain picture fuzzy B´ezier curve is described.