Intuitionistic fuzzy piecewise Bézier curve modeling with C1 and G1 continuities for complex data

Abstract

It is difficult to visualize some curves due to the data complexity. Complex data that have intuitionistic and big data features are hard to be processed and shown entirely in one curve. Therefore, in this paper, intuitionistic fuzzy Bézier curve with piecewise function is introduced. Firstly, the complex data is defined as intuitionistic fuzzy control point. Later, the control point in cubic case is blended with the Bernstein polynomial to produce a single piece of curve. The same process is repeated for other control points. The pieces of the curve are then combined until C1 and G1 continuities. Finally, the resulting curve is visualized, and its algorithm is shown at the end of this paper.