Type-2 fuzzy Bezier curve modeling

In this paper, the development of type-2 fuzzy set theory (T2FST) in geometric modeling which type-2 fuzzy Bezier curve is discussed. This theory development is the extension from type-1 fuzzy set theory (T1FST) which was adapted in Bezier curve modeling. Point’s data that have the complex uncertainty behave is defined based on type-2 fuzzy number (T2FN) concepts which constructed from the T2FST. Then, the alpha-cut operation is applied towards type-2 fuzzy data (T2FD) to obtain an interval fuzzy solution. Also, type-reduction method is discussed, which is used to reduce T2FD to become type-1 fuzzy data (T1FD). Then, the defuzzification process is carried out for finding the crisp fuzzy solution of data points.