A Neutrosophic B´ézier Curve Model using Control Points

Authors

  • Maziah Mahmud 1Faculty of Computer Science and Mathematics, Universiti Teknologi MARA Cawangan Kelantan
  • Abd. Fatah Wahab Faculty of Ocean Engineering Technology and Informatics, Universiti Terengganu Malaysia
  • Mohammad Izat Emir Zulkifly Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia
  • Said Broumi Laboratory of Information processing, Faculty of Science Ben M’Sik, University Hassan II, B.P 7955, Sidi Othman, Casablanca, Morocco

Keywords:

Neutrosophic, Spline curve, B´ezier curve, control point, data visualization

Abstract

Uncertainandambiguousdata is usually presented as a data point. When dealing with uncertain data, it is chal lenging to deal with incompleteness, imprecision, and incertitude; therefore, various mathematical models were developed  to resolve issues concerning uncertainty points. To overcome this difficulty, a mathematical model with redefined control  points characterised by three important components of the neutrosophic set was produced. The neutrosophic set can then  be translated by creating models based on the neutrosophic theory and its relationships to produce control points. Hence,  this paper represents a curve generated by combining neutrosophic control points with the B´ezier basic functions using their  relation as a Neutrosophic B´ ezier Curve. With an illustration example, we show how to visualise neutrosophic data sets into  Neutrosophic B´ ezier Curve and their relationship.

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Published

2023-12-01

Issue

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

How to Cite

Maziah Mahmud, Abd. Fatah Wahab, Mohammad Izat Emir Zulkifly, & Said Broumi. (2023). A Neutrosophic B´ézier Curve Model using Control Points. Neutrosophic Sets and Systems, 60, 455-466. https://fs.unm.edu/nss8/index.php/111/article/view/3798

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