Type-2 Fuzzy Interpolation B-Spline Curve Modeling Towards Earthquake Magnitude Data in Ranau, Sabah

Abstract

This research proposed a type-2 fuzzy interpolation B-spline modeling, a combination of geometric modeling, and type-2 fuzzy set theory (T2FST) to solve complex uncertainty in data. First and foremost, the complex uncertainty data is defined using the T2FST through the concept of a type-2 fuzzy number (T2FN). Along with constructing the type-2 fuzzy model, fuzzification (alpha-cut operation), reduction, and defuzzification processes are used against the type-2 fuzzy data points of earthquake magnitude in Ranau, Sabah. Then, the interpolation B-spline curve function demonstrates the type-2 fuzzy data points. Besides, the error obtained between the crisp and defuzzification values of the earthquake magnitude data in Ranau is within the acceptable range, which is less than 0.1. Therefore, this study proves that the type-2 fuzzy interpolation B-spline curve model can solve the complex uncertainty data for earthquake magnitude.