Malaysian Journal of Mathematical Sciences, December 2019, Vol. 13(S)
Special Issue: Conference on Mathematics, Informatics and Statistics (CMIS2018)
Fuzzy Cubic B\(\acute{e}\)zier Curve Approximation in Fuzzy Topological Digital Space
Shah, M. M., Wahab, A. F., and Zulkifly, M. I. E.
Corresponding Email: [email protected]
Received date: -
Accepted date: -
Abstract:
By using Chang�s fuzzy topology, a collection of digital data need to satisfy three conditions. Then, the collection will be known as fuzzy
digital topology. The digital data in digital space consists of small dots or pixels and it is discrete. In this paper, first, we consider the uncertainty in digital space by using a fuzzy discrete set to produce fuzzy digital space and fuzzy point relation as the element in fuzzy digital space. Therefore, if fuzzy point relation satisfies the fuzzy digital topology conditions, then the fuzzy digital space will be known as fuzzy topological digital space. In fuzzy topological digital spaces, if two fuzzy points relation satisfies metric properties, then space also can be known as fuzzy metric digital space. The main purpose of this paper is to build fuzzy cubic B\(\acute{e}\)zier curve approximation in fuzzy topological digital spaces. Then by using fuzzy control point relation which satisfies the properties in fuzzy topological digital space, we show the visualization through some example.
Keywords: Fuzzy point relation, Fuzzy topological digital space, Fuzzy control point relation, Fuzzy cubic B\(\acute{e}\)zier approximation
