DEVELOPMENT OF NON-UNIFORM RATIONAL TYPE-2 FUZZY B-SPLINE CURVE MODELING
Type-2 fuzzy set offers an opportunity to define a fuzzy control point with type-2 levels of uncertainty. We discuss the development of non-uniform B-spline curve model based on type-2 fuzzy set theory and also a type-2 level of NURBS curve model. First we define type-2 fuzzy control points and type-2 fuzzy weight using a type-2 fuzzy number. Then we introduce fuzzy NURBS curve model with type-2 fuzzy control points and type-2 fuzzy weight. We discuss the model with type-2 fuzzy data points and type-1 fuzzy reduction. The defuzzification of the model is also discussed at the end of this paper.
type-2 fuzzy set, type-2 fuzzy control point, type-2 fuzzy weight, type-2 fuzzy NURBS.