Approximation of Picture Fuzzy Bézier Curve Model

Authors

  • Nur Azlida Ahmad Department of Foundation and General Studies, Universiti Tenaga National (UNITEN)
  • Mohammad Izat Emir Zulkifly Department of Mathematical Sciences, Faculty of Science, University of Technology Malaysia

DOI:

https://doi.org/10.11113/matematika.v40.n3.1566

Keywords:

Approximation; B´ezier curve; picture fuzzy set; picture fuzzy B´ezier curve; picture fuzzy control point

Abstract

This paper presents a new picture fuzzy set approach to modeling of B´ezier curve approximation. To produce the picture fuzzy control point, the notion is used to describe the point relation of the picture fuzzy set (PFS). The new picture fuzzy control point is combined with the B´ezier function to create a model of the picture fuzzy B´ezier curve. Subsequently, the approximation curves comprising the positive, neutral, negative, and refusal membership curves are displayed. A numerical example has been used to approximate the picture fuzzy B´ezier curve model for the illustration. Consequently, in the conclusion of this paper, an approach to obtain picture fuzzy B´ezier curve is described.

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Published

30-11-2024

How to Cite

Ahmad, N. A., & Zulkifly, M. I. E. (2024). Approximation of Picture Fuzzy Bézier Curve Model. MATEMATIKA, 40(3), 73–82. https://doi.org/10.11113/matematika.v40.n3.1566

Issue

Volume 40 (December 2024)

Section

Articles

License

Copyright of articles that appear in MATEMATIKA: MJIAM belongs exclusively to Penerbit UTM Press, Universiti Teknologi Malaysia. This copyright covers the rights to reproduce the article, including reprints, electronic reproductions or any other reproductions of similar nature.