THE SERIES OF FUZZIFIED FUZZY BEZIER CURVE

Authors

  • Rozaimi Zakaria Faculty of Science and Natural Resources, Universiti Malaysia Sabah (UMS), Kota Kinabalu, Sabah, Malaysia
  • Abd. Fatah Wahab School of Informatics and Applied Mathematics, Universiti Malaysia Terengganu (UMT), Kuala Nerus, Terengganu, Malaysia
  • R. U. Gobithaasan School of Informatics and Applied Mathematics, Universiti Malaysia Terengganu (UMT), Kuala Nerus, Terengganu, Malaysia

DOI:

https://doi.org/10.11113/jt.v78.6935

Keywords:

Fuzzy number, fuzzification, alpha-cut operation, Bezier curve

Abstract

This paper discusses about the series of fuzzified Bezier curves. This series of fuzzified Bezier curves constructed based on the fuzzy set theory especially fuzzy number concepts. The series of fuzzified represented by the alpha-cut of fuzzy number with various values of alpha. Then, the results were blended with Bezier curve function to produce the series of fuzzified fuzzy Bezier curves.

References

Zakaria, R and Wahab, A. F. 2014. Pemodelan Titik Data Kabur Teritlak. Sains Malaysiana. 43(5): 799-805.

Zakaria, R., Wahab A. F. and Ali, J. M. 2011. Fuzzy Interpolation Bezier Curve in Modeling Fuzzy Grid Data. Journal of Basic and Applied Scientific Research. 9: 1006-1011.

Wahab, A. F., Ali, J. M and Majid, A. A. 2009. Fuzzy Geometric Modeling. IEEE Computer Graphics, Image and Visualization International Conference on Computer Graphics, Image and Visualization. Tianjin, China. 11-14 August. 276-280.

Wahab, A. F., Ali, J. M., Majid, A. A. and Tap, A. O. M. 2004. Fuzzy Set In Geometric Modeling. IEEE Computer Graphics, Image and Visualization International Conference on Computer Graphics, Image and Visualization. Penang, Malaysia. 26–29 July 2004. 227-232.

Zakaria, R., Wahab, A. F., and Gobithaasan, R. U. 2014. Fuzzy B-Spline Surface Modeling. Journal of Applied Mathematics. 2014: 1-8.

Zakaria, R and Wahab, A.F. 2010. Chapter 7: Fuzzy Interpolation of Bezier Curves. Fuzzy: From Theory to Applications. UiTM: University Publication Centre (UPENA), 53-60.

Zakaria, R and Wahab, A. F. 2012. Fuzzy B-Spline Modeling of Uncertainty Data. Applied Mathematical Sciences. 140(6): 6971-6991.

Zimmermann, H.-J. 1985. Fuzzy Set Theory and Its Applications. USA: Kluwer Academic.

Salomon, D. 2006. Curves and Surfaces for Computer Graphics. USA: Springer.

Farin, G. 2002. Curves and Surfaces for CAGD: A Practical Guide, 5th ed. USA: Academic Press.

Yamaguchi, F. 1988. Curves and Surface in Computer Aided Geometric Design. Germany: Springer-Verlag.

Downloads

Published

2015-12-21

Issue

Vol. 78 No. 2-2: Digital Media Issue

Section

Science and Engineering

License

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

How to Cite

THE SERIES OF FUZZIFIED FUZZY BEZIER CURVE. (2015). Jurnal Teknologi (Sciences & Engineering), 78(2-2). https://doi.org/10.11113/jt.v78.6935