A Neutrosophic Bezier Curve Model using Control Points

Abstract

Uncertain and ambiguous data is usually presented as a data point. When dealing with uncertain data, it is challenging to deal with incompleteness, imprecision, and incertitude; therefore, various mathematical models were developed to resolve issues concerning uncertainty points. To overcome this difficulty, a mathematical model with redefined control points characterised by three important components of the neutrosophic set was produced. The neutrosophic set can then be translated by creating models based on the neutrosophic theory and its relationships to produce control points. Hence, this paper represents a curve generated by combining neutrosophic control points with the Bezier basic functions using their relation as a Neutrosophic Bezier Curve. With an illustration example, we show how to visualise neutrosophic data sets into Neutrosophic Bezier Curve and their relationship.

Keywords

• neutrosophy
• spline curve
• bezier curve
• control point
• data visualization