Complex Uncertainty of Surface Data Modeling via the Type-2 Fuzzy B-Spline Model

Complex Uncertainty of Surface Data Modeling via the Type-2 Fuzzy B-Spline Model

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This paper discusses the Saddle Riggings » Backriggings construction of a type-2 fuzzy B-spline model to model complex uncertainty of surface data.To construct this model, the type-2 fuzzy set theory, which includes type-2 fuzzy number concepts and type-2 fuzzy relation, is used to define the complex uncertainty of surface data in type-2 fuzzy data/control points.These type-2 fuzzy data/control points are blended with the B-spline surface function to produce the proposed model, which can be visualized and analyzed further.Various processes, namely fuzzification, type-reduction and defuzzification are defined to achieve a crisp, type-2 fuzzy B-spline Raw Seaweeds surface, representing uncertainty complex surface data.

This paper ends with a numerical example of terrain modeling, which shows the effectiveness of handling the uncertainty complex data.