| Summary: | 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.
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