Interval-Valued Fuzzy Bézier Surface Approximation

• Published in: 2024 5th International Conference on Artificial Intelligence and Data Sciences, AiDAS 2024 - Proceedings
• Main Author: Sahrom N.A.; Emir Zulkifly M.I.; Idara Rosli S.N.
• Format: Conference paper
• Language: English
• Published: Institute of Electrical and Electronics Engineers Inc. 2024
• Online Access: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85209627842&doi=10.1109%2fAiDAS63860.2024.10730727&partnerID=40&md5=42218a79a3e59093e31565927da62407

In the field of geometry and computer-aided design Bézier surfaces are well known for their flexibility and effectiveness, in depicting shapes. However, dealing with real-world data and model parameters often involves uncertainty and imprecision that regular Bézier surfaces struggle to handle. This piece introduces the idea of interval-valued fuzzy Bézier Surface Approximation, an approach that combines logic and interval arithmetic to tackle uncertainty in surface modeling. In this paper, interval-valued fuzzy Bézier surface approximation is introduced. The interval-valued fuzzy control net relation is defined and introduced. Next, the surface blending function is obtained by blending the interval-valued fuzzy control net with the Bernstein blending function. Lastly, the data points or interval-valued fuzzy control net relation of the basis function is illustrated using the approximation method with the interval-valued fuzzy concept and features to produce an interval-valued fuzzy Bézier surface. The application of Bézier surfaces can be extended to handle a wide range of complex modeling and offers a more precise and dependable tool for engineering, graphics, and data visualization applications. © 2024 IEEE.