Deneutrosophication of Neutrosophic Bézier Surface Approximation Model

The deneutrosophication process is a process transforming from neutrosophic values to crisp output values. It is the final 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 Bézier surface by using neutrosophic set theory through the deneutrosophication process. Therefore, this paper used an average of triangular footprint method in the deneutrosophication process to construct the neutrosophic Bézier surface (NBS) models by using approximation methods. Before generating the model, the neutrosophic control net (NCN) must first be introduced using the deneutrosophication process. After that, the NCN will be blended with the Bernstein basis function to generate the NBS approximation model. Next, some numerical examples of NBS will be provided. Finally, the deneutrosophication of NBS approximation models will be visualized, and its algorithm will be shown.