Title: Review of Mathematical Side for Constructing an Activation Function for Fuzzy Wavenets by Deriving Composite Functions
Authors: Bushra Hussien Aliwi and Maher Kadhum Abd
Volume: 9
Issue: 4
Pages: 238-244
Publication Date: 2025/04/28
Abstract:
From this study we try to present new idea in way to more future wonderful ideas(as researches), exploiting mathematical side of specific ,through several ways employing very wide resources of mathematical functions and their properties on variables that with natural in improve features of activation functions, from these studies this study which construct an activation function through compose two(and more) functions and then drive it .That functions with properties to be continuous and drivable in general that will be features of produced function(s) later. We can drive membership function under fuzzy logic by this as composite function on wavelet function or vice versa ,and for many different functions(as future works) that to use it in practical applications such for NNs. Also we compose wavelets from families such SLOG mother wavelets with RASP and POLYWOG wavelets, that specifically arises from NNs representation and classification problems ,which also drivable .Each one from these functions have derivative which also can be composed to get an other activation function .