Adaptive memetic method of multi-objective genetic evolutionary algorithm for backpropagation neural network

  • Ashraf Osman IbrahimEmail author
  • Siti Mariyam Shamsuddin
  • Ajith Abraham
  • Sultan Noman Qasem
Original Article


In recent years, multi-objective evolutionary optimization algorithms have shown success in different areas of research. Due to their efficiency and power, many researchers have concentrated on adapting evolutionary algorithms to generate Pareto solutions. This paper proposes a new memetic adaptive multi-objective evolutionary algorithm that is based on a three-term backpropagation network (MAMOT). This algorithm is an automatic search method for optimizing the parameters and performance of neural networks, and it relies on the use of the adaptive non-dominated sorting genetic algorithm-II integrated with the backpropagation algorithm, being used as a local search method. The presented MAMOT employs a self-adaptive mechanism toward improving the performance of the proposed algorithm and a local optimizer improving all the individuals in a population in order to obtain better accuracy and connection weights. In addition, it selects an appropriate number of hidden nodes simultaneously. The proposed method was applied to 11 datasets representing pattern classification problems, including two-class, multi-class and complex data reflecting real problems. Experiments were performed, and the results indicated that the proposed method is viable in pattern classification tasks compared to a multi-objective genetic algorithm based on a three-term backpropagation network (MOGAT) and some of the methods mentioned in the literature. The statistical analysis results of the t test and Wilcoxon signed-ranks test also show that the performance of the proposed method is significantly better than MOGAT.


Self-adaptive Artificial neural networks Three-term backpropagation Multi-objective evolutionary Non-dominated sorting genetic algorithm-II 



The authors would like to thank the anonymous reviewers and the editor for their useful advice and constructive comments.

Compliance with ethical standards

Conflict of interest

The authors declare that there is no conflict of interests regarding the publication of this paper.


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Copyright information

© Springer-Verlag London Ltd., part of Springer Nature 2019

Authors and Affiliations

  • Ashraf Osman Ibrahim
    • 1
    • 2
    • 3
    Email author
  • Siti Mariyam Shamsuddin
    • 4
  • Ajith Abraham
    • 5
  • Sultan Noman Qasem
    • 6
    • 7
  1. 1.Faculty of Computer Science and Information TechnologyAlzaiem Alazhari UniversityKhartoum NorthSudan
  2. 2.Arab Open UniversityKhartoumSudan
  3. 3.Faculty of computer scienceFuture UniversityKhartoumSudan
  4. 4.UTM Big Data CentreUniversiti Teknologi MalaysiaSkudaiMalaysia
  5. 5.Machine Intelligence Research Labs (MIR Labs)Scientific Network for Innovation and Research ExcellenceAuburnUSA
  6. 6.Computer Science Department, College of Computer and Information SciencesAl Imam Mohammad Ibn Saud Islamic University (IMSIU)RiyadhSaudi Arabia
  7. 7.Computer Science Department, Faculty of Applied SciencesTaiz UniversityTaizYemen

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