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 B-spline 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 B-spline surface (NB-sS) 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 B-spline basis function to generate the NB-sS approximation model. Next, some numerical examples of NB-sS will be provided. Finally, the deneutrosophication of NB-sS approximation models will be visualized, and its algorithm will be shown.
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