Malaysian Journal of Mathematical Sciences, December 2019, Vol. 13(S)
Special Issue: Conference on Mathematics, Informatics and Statistics (CMIS2018)
Approximation of Intuitionistic Fuzzy B\(\acute{e}\)zier Curve Model
Zulkifly, M. I. E., Wahab, A. F., and Yusoff, B.
Corresponding Email: [email protected]
Received date: -
Accepted date: -
Abstract:
In this paper, the approximation of B\(\acute{e}\)zier curve by using an intuitionistic fuzzy approach is introduced. Firstly, the intuitionistic fuzzy point relation is defined based on the intuitionistic fuzzy concept to yield an intuitionistic fuzzy control point. Some theorems of intuitionistic fuzzy point relation are also introduced. Later, the intuitionistic fuzzy control point is blended with the Bernstein blending function and the intuitionistic fuzzy B\(\acute{e}\)zier curve model is produced. Next, the approximation curves consist of membership, non-membership and uncertainty curves is visualized. A numerical example is shown and the introduced B\(\acute{e}\)zier curve properties are also discussed. Finally, an algorithm to obtain an intuitionistic fuzzy B\(\acute{e}\)zier curve is presented at the end of this paper.
Keywords: Approximation, B\(\acute{e}\)zier curve, intuitionistic fuzzy B\(\acute{e}\)zier curve, intuitionistic fuzzy control point
