Type2 fuzzy Bezier curve modeling
Abstract
In this paper, the development of type2 fuzzy set theory (T2FST) in geometric modeling which type2 fuzzy Bezier curve is discussed. This theory development is the extension from type1 fuzzy set theory (T1FST) which was adapted in Bezier curve modeling. Point's data that have the complex uncertainty behave is defined based on type2 fuzzy number (T2FN) concepts which constructed from the T2FST. Then, the alphacut operation is applied towards type2 fuzzy data (T2FD) to obtain an interval fuzzy solution. Also, typereduction method is discussed, which is used to reduce T2FD to become type1 fuzzy data (T1FD). Then, the defuzzification process is carried out for finding the crisp fuzzy solution of data points.
 Publication:

Research in Mathematical Sciences: A Catalyst for Creativity and Innovation
 Pub Date:
 April 2013
 DOI:
 10.1063/1.4801232
 Bibcode:
 2013AIPC.1522..945Z
 Keywords:

 curve fitting;
 fuzzy set theory;
 02.10.Ab;
 02.60.Ed;
 Logic and set theory;
 Interpolation;
 curve fitting