Generalized Fuzzy Data Point Modeling

In this paper, the approach in defining the uncertainty data points through the concept of the existing fuzzy numbers can be generalized. This generalization includes the defining uncertainty data which will become fuzzy data point (fuzzy control point) after being defined by the fuzzy numbers concepts. Then, this study also discusses the fuzzification process (alpha-cut operation) of the fuzzy data points in the form of triangular fuzzy numbers that was accompanied by some theorems and their proofs. In addition, we also model the fuzzy data points through the existing curve function of Bezier curve function. Then, we also proposed a defuzzification process which was applied towards the fuzzy data points after the fuzzification process to obtain crisp fuzzy data points solution as the final result which was being modeled by using the Bezier curve function jointly with some theorems for more understanding.