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.

中文翻译：

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基于模糊变换的有限差分波传播中的随机噪声衰减

引入了模糊变换（F-transform）作为一种近似方法，该方法既包括经典变换，也包括在模糊建模和模糊控制中研究的近似方法。已经证明，在某些条件下，F变换可以消除周期性噪声，并且可以显着减少随机噪声。在这项工作中，我们应用F变换方法来提出一种有限差分方法来求解具有嘈杂初始条件的声波方程。