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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| Format: | Article |
| Language: | English |
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University of New Mexico
2025-07-01
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| Series: | Neutrosophic Sets and Systems |
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| Online Access: | https://fs.unm.edu/NSS/27Neutrosophication.pdf |
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| author | Siti Nur Idara Rosli Mohammad Izat Emir Zulkifly |
| author_facet | Siti Nur Idara Rosli Mohammad Izat Emir Zulkifly |
| author_sort | Siti Nur Idara Rosli |
| collection | DOAJ |
| description | 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.” |
| format | Article |
| id | doaj-art-1f38f137e84d4d5f8a1ba8ee0a363a91 |
| institution | Kabale University |
| issn | 2331-6055 2331-608X |
| language | English |
| publishDate | 2025-07-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj-art-1f38f137e84d4d5f8a1ba8ee0a363a912025-08-20T03:44:19ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2025-07-018743444710.5281/zenodo.15691268Neutrosophication of Neutrosophic B-Spline Curve Approximation ModelSiti Nur Idara Rosli Mohammad Izat Emir ZulkiflyThe 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.” https://fs.unm.edu/NSS/27Neutrosophication.pdfneutrosophication processb-spline curveapproximation method |
| spellingShingle | Siti Nur Idara Rosli Mohammad Izat Emir Zulkifly Neutrosophication of Neutrosophic B-Spline Curve Approximation Model Neutrosophic Sets and Systems neutrosophication process b-spline curve approximation method |
| title | Neutrosophication of Neutrosophic B-Spline Curve Approximation Model |
| title_full | Neutrosophication of Neutrosophic B-Spline Curve Approximation Model |
| title_fullStr | Neutrosophication of Neutrosophic B-Spline Curve Approximation Model |
| title_full_unstemmed | Neutrosophication of Neutrosophic B-Spline Curve Approximation Model |
| title_short | Neutrosophication of Neutrosophic B-Spline Curve Approximation Model |
| title_sort | neutrosophication of neutrosophic b spline curve approximation model |
| topic | neutrosophication process b-spline curve approximation method |
| url | https://fs.unm.edu/NSS/27Neutrosophication.pdf |
| work_keys_str_mv | AT sitinuridararosli neutrosophicationofneutrosophicbsplinecurveapproximationmodel AT mohammadizatemirzulkifly neutrosophicationofneutrosophicbsplinecurveapproximationmodel |