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Intuitionistic fuzzy piecewise Bézier curve modeling with C1 and G1 continuities for complex data

Zulkifly, Mohammad Izat Emir and Wahab, Abd. Fatah and Bidin, Mohd. Syafiq and Embong, Ahmad Fadillah and Hoe, Yeak Su (2020) Intuitionistic fuzzy piecewise Bézier curve modeling with C1 and G1 continuities for complex data. Advances In Differential Equations And Control Processes, 23 (2). pp. 251-260. ISSN 0974-3243

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Official URL: http://www.pphmj.com/abstract/13516.htm

Abstract

It is difficult to visualize some curves due to the data complexity. Complex data that have intuitionistic and big data features are hard to be processed and shown entirely in one curve. Therefore, in this paper, intuitionistic fuzzy Bézier curve with piecewise function is introduced. Firstly, the complex data is defined as intuitionistic fuzzy control point. Later, the control point in cubic case is blended with the Bernstein polynomial to produce a single piece of curve. The same process is repeated for other control points. The pieces of the curve are then combined until C1 and G1 continuities. Finally, the resulting curve is visualized, and its algorithm is shown at the end of this paper.

Item Type:Article
Uncontrolled Keywords:intuitionistic fuzzy Bézier curve, intuitionistic fuzzy control point
Subjects:Q Science > QA Mathematics
Divisions:Science
ID Code:90548
Deposited By: Widya Wahid
Deposited On:30 Apr 2021 14:47
Last Modified:30 Apr 2021 14:47

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