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On Fourth Combining of Wavelet from RASP Family with Wavelet from SLOG Family and Membership Function

Author: Bushra Hussien Aliwi
Journal: Journal of University of Babylon مجلة جامعة بابل ISSN: 19920652 23128135 Year: 2016 Volume: 24 Issue: 9 Pages: 2354-2361
Publisher: Babylon University جامعة بابل

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Abstract

The compose among the wavelets functions from different families, such RASP family with other(s) from SLOG family with normal membership function, such Gaussian membership function, that apply some condition for wavelets. That through fourth order composes to get on new membership function we will call it (GaSLR)membership function(from words Gaussian SLOG RASP), with combined features from the functions that it were constructed from it, this function could be used as activation function in several models such as; Fuzzy Neural Networks, Wavenets, and other Neural Networks .

التركيب بين دوال المويجات مِنْ عوائلِ مختلفةِ مثل عائلة RASP و دالة او دوال اخرى من عائلة SLOG مع دالة ِعضوية اعتيادية, مثل دالة العضوية لكاوس من خلال التركيب حتى الرتبة الرابعة , والتي تحقق بعض شروط المويجات. وذلك للحصول على دالة عضوية جديدة سوف نسميها دالة العضوية GaSLR من الكلمات ( (Gaussian SLOG RASP , مع صفات مجتمعة من الدوال التي انشأت منها , وهذه الدالة يمكن ان تستخدم كدالة تنشيط في بعض الانظمة مثل :الشبكات العصبية المضببة , شبكات المويجات , والشبكات العصبية الاخرى.

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