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Neutrosophic bicubic B-spline surface interpolation model for uncertainty data

Dealing with the uncertainty data problem using neutrosophic data is difficult since certain data are wasted due to noise. To address this issue, this work proposes a neutrosophic set (NS) strategy for interpolating the B-spline surface. The purpose of this study is to visualize the neutrosophic bic...

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Main Authors: Rosli, Siti Nur Idara, Zulkifly, Mohammad Izat Emir
Format: Article
Language:English
Published: Sciences Force LLC 2023
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/108590/1/MohammadIzatEmir2023_NeutrosophicBicubicBSplineSurfaceInterpolation.pdf
http://eprints.utm.my/108590/
http://dx.doi.org/10.61356/j.nswa.2023.69
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spelling my.utm.1085902024-11-19T06:23:00Z http://eprints.utm.my/108590/ Neutrosophic bicubic B-spline surface interpolation model for uncertainty data Rosli, Siti Nur Idara Zulkifly, Mohammad Izat Emir QA Mathematics Dealing with the uncertainty data problem using neutrosophic data is difficult since certain data are wasted due to noise. To address this issue, this work proposes a neutrosophic set (NS) strategy for interpolating the B-spline surface. The purpose of this study is to visualize the neutrosophic bicubic B-spline surface (NBB-sS) interpolation model. Thus, the principal results of this study introduce the NBB-sS interpolation method for neutrosophic data based on the NS notion. The neutrosophic control net relation (NCNR) is specified first using the NS notion. The B-spline basis function is then coupled to the NCNR to produce the NBB-sS. This surface is then displayed using an interpolation method that comprises surfaces representing truth, indeterminacy, and false membership. There is a numerical example for constructing the NBB-sS using interpolation and will use quantitative data in the form of discrete numerical cases, particularly in neutrosophic numbers. The major conclusion of this study is a mathematical representation of NBB-sS by using the interpolation method was introduced and visualized for a neutrosophic data problem. The scientific value contributed to this study is an acceptance of uncertainty. Therefore, since it incorporates geometric modeling, this work can make a significant contribution to the neutrosophic decision model. Sciences Force LLC 2023-10 Article PeerReviewed application/pdf en http://eprints.utm.my/108590/1/MohammadIzatEmir2023_NeutrosophicBicubicBSplineSurfaceInterpolation.pdf Rosli, Siti Nur Idara and Zulkifly, Mohammad Izat Emir (2023) Neutrosophic bicubic B-spline surface interpolation model for uncertainty data. Neutrosophic Systems with Applications, 10 (NA). pp. 25-34. ISSN 2993-7140 http://dx.doi.org/10.61356/j.nswa.2023.69 DOI:10.61356/j.nswa.2023.69
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
language English
topic QA Mathematics
spellingShingle QA Mathematics
Rosli, Siti Nur Idara
Zulkifly, Mohammad Izat Emir
Neutrosophic bicubic B-spline surface interpolation model for uncertainty data
description Dealing with the uncertainty data problem using neutrosophic data is difficult since certain data are wasted due to noise. To address this issue, this work proposes a neutrosophic set (NS) strategy for interpolating the B-spline surface. The purpose of this study is to visualize the neutrosophic bicubic B-spline surface (NBB-sS) interpolation model. Thus, the principal results of this study introduce the NBB-sS interpolation method for neutrosophic data based on the NS notion. The neutrosophic control net relation (NCNR) is specified first using the NS notion. The B-spline basis function is then coupled to the NCNR to produce the NBB-sS. This surface is then displayed using an interpolation method that comprises surfaces representing truth, indeterminacy, and false membership. There is a numerical example for constructing the NBB-sS using interpolation and will use quantitative data in the form of discrete numerical cases, particularly in neutrosophic numbers. The major conclusion of this study is a mathematical representation of NBB-sS by using the interpolation method was introduced and visualized for a neutrosophic data problem. The scientific value contributed to this study is an acceptance of uncertainty. Therefore, since it incorporates geometric modeling, this work can make a significant contribution to the neutrosophic decision model.
format Article
author Rosli, Siti Nur Idara
Zulkifly, Mohammad Izat Emir
author_facet Rosli, Siti Nur Idara
Zulkifly, Mohammad Izat Emir
author_sort Rosli, Siti Nur Idara
title Neutrosophic bicubic B-spline surface interpolation model for uncertainty data
title_short Neutrosophic bicubic B-spline surface interpolation model for uncertainty data
title_full Neutrosophic bicubic B-spline surface interpolation model for uncertainty data
title_fullStr Neutrosophic bicubic B-spline surface interpolation model for uncertainty data
title_full_unstemmed Neutrosophic bicubic B-spline surface interpolation model for uncertainty data
title_sort neutrosophic bicubic b-spline surface interpolation model for uncertainty data
publisher Sciences Force LLC
publishDate 2023
url http://eprints.utm.my/108590/1/MohammadIzatEmir2023_NeutrosophicBicubicBSplineSurfaceInterpolation.pdf
http://eprints.utm.my/108590/
http://dx.doi.org/10.61356/j.nswa.2023.69
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score 13.223943

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