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Title

On The Fusion of Neural Networks and Fuzzy Logic, Membership Functions and Weights

  Rama Asad Nadweh 1 *

1  Islamic Online University, Department Of Science and Information Technology, Doha, Qatar
    (ramaanadwehh@gmail.com)


Doi   :   https://doi.org/10.54216/GJMSA.070102

Received: February 05, 2022 Revised: June 08, 2023 Accepted: August 07, 2023

Abstract :

Fuzzy logic plays a huge role in the symbolic inference and causality associated with modern cognitive human systems. In this paper, we present a mathematical method that defines the mechanism of forming a hybrid structure in which neural networks and expert systems are connected so that one forms a primary processing stage for the other, where the neural network can act as a primary processor that processes low-level information, or as an internal Subsystem for learning tasks or generalization and classification. Where neural networks can be used to generate rules using training data and then submit these rules to be used by a fuzzy system to give the final results.

Keywords :

Fuzzy set; fuzzy logic; neural network; membership function

References :

[1] AGGARWAL C, 2018 - Neural networks and deep learning. SPRINGER Vol. 10/2018. 903 – 978.

[2] GAMA F, ISUFI E, 2020 - Graphs, convolutions, and neural networks. IEEE Signal Processing Magazine, Vol. 37. 128 – 138.

[3] GONZALEZ B, MELIN P, 2015 - Hybrid model based on neural networks, type-1 and type-2 fuzzy systems for 2-lead cardiac arrhythmia classification. Expert Systems with Applications. Vol. 126. 295 – 307.

[4] HASIBUAN N, 2017 - Expert systems with genetics probability. International Journal of Research In Science & Engineering, Vol. 3. 42 –54.

[5] NAITZAT G, ZHITNIKOV A, 2020 - Topology of deep neural networks. J. Mach. Learn. Res. Vol. 184. 1 – 40.

[6] PRENTZAS N, 2019 - Integrating machine learning with symbolic reasoning to build an explainable AI model for stroke prediction, IEEE Bioinformatics and Bioengineering (BIBE), Vol. 19. 817 - 821.

[7] RACHMAWANTO E, ANARQI G, SARI C - 2018 Handwriting Recognition Using Eccentricity and Metric Feature Extraction Based on K-Nearest Neighbors. Application for Technology of Information and Communication. Vol.18. 411 – 416.

[8] RAMIREZ E, MELIN P, PRADO-ARECHIGA G, 2019 - Fuzzy logic in the gravitational search algorithm for the optimization of modular neural networks in pattern recognition. Expert Systems with Applications. Vol. 42(14). 5839 – 5847.

[9] SHITOLE C, 2007 - Combining fuzzy logic and neural networks in classification of weld defects using ultrasonic time-of-flight diffraction. Insight-Non-Destructive Testing and Condition Monitoring. Vol. 49. 79 –89.

[10] VAN GERVEN M, 2017 - Artificial neural networks as models of neural information processing, Frontiers in Computational Neuroscience, Vol. 11. 114-121.

[11] XIAOYAN W, 2019 - The Study of Visual Symbols in Digital Media Technology. Semantics Scholar, 30 – 47.

[12] YAMAKAWA T, 1991 - A fuzzy neuron and its application to pattern recognition. IEEE International Sympoisum on Circuits and Systems, Vol.91.1369 – 1372.

[13] YAMAKAWA T, 1993 - A fuzzy inference engine in nonlinear analog mode and its application to a fuzzy logic control. IEEE transactions on Neural Networks , 496– 522.


Cite this Article as :
Style #
MLA Rama Asad Nadweh. "On The Fusion of Neural Networks and Fuzzy Logic, Membership Functions and Weights." Galoitica: Journal of Mathematical Structures and Applications, Vol. 7, No. 1, 2023 ,PP. 18-25 (Doi   :  https://doi.org/10.54216/GJMSA.070102)
APA Rama Asad Nadweh. (2023). On The Fusion of Neural Networks and Fuzzy Logic, Membership Functions and Weights. Journal of Galoitica: Journal of Mathematical Structures and Applications, 7 ( 1 ), 18-25 (Doi   :  https://doi.org/10.54216/GJMSA.070102)
Chicago Rama Asad Nadweh. "On The Fusion of Neural Networks and Fuzzy Logic, Membership Functions and Weights." Journal of Galoitica: Journal of Mathematical Structures and Applications, 7 no. 1 (2023): 18-25 (Doi   :  https://doi.org/10.54216/GJMSA.070102)
Harvard Rama Asad Nadweh. (2023). On The Fusion of Neural Networks and Fuzzy Logic, Membership Functions and Weights. Journal of Galoitica: Journal of Mathematical Structures and Applications, 7 ( 1 ), 18-25 (Doi   :  https://doi.org/10.54216/GJMSA.070102)
Vancouver Rama Asad Nadweh. On The Fusion of Neural Networks and Fuzzy Logic, Membership Functions and Weights. Journal of Galoitica: Journal of Mathematical Structures and Applications, (2023); 7 ( 1 ): 18-25 (Doi   :  https://doi.org/10.54216/GJMSA.070102)
IEEE Rama Asad Nadweh, On The Fusion of Neural Networks and Fuzzy Logic, Membership Functions and Weights, Journal of Galoitica: Journal of Mathematical Structures and Applications, Vol. 7 , No. 1 , (2023) : 18-25 (Doi   :  https://doi.org/10.54216/GJMSA.070102)