Neutrosophication of Neutrosophic B-Spline Curve  Approximation Model

Siti Nur Idara Rosli; Mohammad Izat Emir Zulkifly

Authors

Siti Nur Idara Rosli Faculty of Sciences, Department of Mathematics, Universiti Teknologi Malaysia (UTM), 81310 UTM Johor Bahru, Johor, Malaysia;
Mohammad Izat Emir Zulkifly Faculty of Sciences, Department of Mathematics, Universiti Teknologi Malaysia (UTM), 81310 UTM Johor Bahru, Johor, Malaysia;

Keywords:

Neutrosophication process; B-spline Curve; Approximation Method; operations.

Abstract

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 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 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.”

DOI: 10.5281/zenodo.15691268