Neutrosophication of Neutrosophic B-Spline Curve Approximation Model

The neutrosophication process involves transforming crisp input value into neutrosophic value. It is a primary and crucial step for the operations within a neutrosophic set and system. Neutrosophic set theories are a generalization of intuitionistic fuzzy and fuzzy set theories, focusing on truth, indeterminacy, and falsity memberships independently. However, it isn't easy to generate a geometrical model such as a B-spline curve by using neutrosophic set theory through the neutrosophication process. Therefore, this paper used (   , , cut ) − operations in the neutrosophication process to construct the neutrosophic B-spline curves (NB-sC) models for approximation methods. Before generating the model, the neutrosophic control point (NCP) must first be introduced using the (   , , cut ) − operations in triangular form. After that, the NCP will be blended with the B-spline basis function to generate the NB-sCs using approximation methods. Next, some numerical examples of NB-sCs will be provided. Finally, the NB-sCs approximation models will be visualized, and their algorithm will be shown.”