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, i...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of New Mexico
2025-07-01
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| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | https://fs.unm.edu/NSS/27Neutrosophication.pdf |
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| Summary: | 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.” |
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| ISSN: | 2331-6055 2331-608X |