31 August، 2025
Ph.D. Dissertation by Student Zaynab Ayham Jarallah
Discussion of Ph.D. Dissertation in the College of Computer Science and Mathematics – Department of Mathematics Sciences entitled:
“A novel mathematical transfer function for binary optimization problems“
It was discussed in the discussion room at the Faculty of Computer Science and Mathematics at the University of Mosul on Sunday, 31 -8-2025.
Ph.D. Dissertation by Student Zaynab Ayham Jarallah
under the supervision of Prof. Dr. Omar Saber Qasim and Prof. Dr. Zakaria Yahya Norri
In this thesis, new transfer functions for converting continuous values to binary ones are proposed. Two new types of transfer functions were proposed: the tent-shaped one, and the fountain-shaped one. Each was designed with several mathematical formulas to provide flexibility in representation and control over the transformation behavior. These proposed functions were integrated within the framework of three well-known optimization algorithms: The Crayfish Optimization Algorithm (COA), the Polar Lights Optimization Algorithm (PLO), and the Arithmetic Optimization Algorithm (AOA). To evaluate the performance of the new functions, a variety of benchmark datasets with different characteristics were used, including the number of samples, features, and number of classes. Comparisons were made with traditional S- and V-type transfer functions. The results showed that the proposed functions achieved competitive performance, with some formulas outperforming a significant number of databases in terms of classification accuracy and number of selected features. The results also showed that for each algorithm, there was a set of datasets where one of our proposed functions performed better than all others. The analysis was enhanced by presenting tables and graphs to provide a comprehensive picture of the functions’ behavior under various conditions.
The scientific committee included the following members:
- Dr. Hoda Essam Ahmed – Chairman
- Dr. Ghada Moayid Rashid – Member.
- Dr. Hamsa Tharot Saeed – Member.
- Dr. Nazar Khalaf Hussein – Member.
- Dr. Muthanna Subhi Sulaiman – Member.
- Dr. Omar Saber Qasim – Member and supervisor.
- Dr. Zakaria Yahya Norri – Member and supervisor.
