Fuzzy Transform (F-transform) has been introduced as an approximation method which encompasses both classical transforms and approximation methods studied in fuzzy modeling and fuzzy control. It has been proved that, under some conditions, F-transform can remove a periodical noise and it can significantly reduce random noise. In this work we apply the F-transform methodology to propose a finite-difference approach to solving the acoustic wave equation with noisy initial conditions.
翻译:模糊变异(F-变异)已经作为一种近似方法引入,它包括古典变异和在模糊模型和模糊控制中研究的近近似方法,已经证明,在某些条件下,F-变异可以消除周期性噪音,可以大大减少随机噪音。在这项工作中,我们采用了F-变异方法,提出用有限的差异方法,用噪音初始条件解决声波方程式。