🎯 Department of Mathematics, Persian Gulf University
A clear path toward a future built on mathematical sciences, algebra, artificial intelligence, and data science
🌟 Vision of the Department of Mathematics
Our Aspiration
🧭 Strategic Areas
Developing the Theoretical Foundations of Mathematical Sciences
Strengthening research in analysis, algebra, numerical analysis, and applied mathematics as the theoretical foundation for machine learning, optimization, and data-driven modeling. Targeting an increase in SCOPUS articles per faculty member from 1.4 to 2.1 and the ratio of highly cited articles from 0 to 0.1 over a five-year horizon, in accordance with the department's strategic plan.
Rough Set Theory and Feature Selection
Research in rough set theory and its fuzzy generalizations to address feature selection and dimensionality reduction problems in high-dimensional data. Applications in incomplete information systems, data mining, and big data preprocessing, with the aim of developing efficient algorithms for selecting optimal feature subsets in machine learning problems.
Soft Computing and Fuzzy Logics
Developing research in soft computing, fuzzy logic, and their applications in image processing (edge detection, noise removal, segmentation) and decision-making systems. Focus on designing fuzzy operators, fuzzy inference systems, and hybrid fuzzy-neural models for real-world problems in healthcare, industry, and agriculture.
Semigroup Theory and Graph Theory
Research in the algebraic structures of semigroups and their connection to graph theory, including zero-divisor graphs, graphs associated with commutative semigroups, and their applications in combinatorial algebra. Also, the development of graph theory in modeling complex networks, graph-based feature selection, and relational data analysis.
Residuated Lattices and Logical Algebras
Fundamental research in lattice theory, particularly residuated lattices, and logical algebras such as Boolean algebras, BCK-algebras, MV-algebras, and MTL-algebras. Study of filters, ideals, and congruence relations in these structures as the semantic foundation of non-classical logics and tools for modeling uncertainty in intelligent systems.
Fourier Theory and Image Processing in Data Science
Application of Fourier theory and frequency-domain analysis in image processing and data science: extraction of spectral features, Fourier descriptors for shape analysis, pattern recognition, and rotation- and scale-invariant object recognition. Development of Fourier transform applications in computer vision, biomedical signal analysis, and image data preprocessing in deep learning.
📈 Quantitative Research Targets (Five-Year Horizon)
| Indicator | Current Status | Target for Year Five |
|---|---|---|
| Research projects per faculty member | 0.2 | 0.6 |
| SCOPUS articles per faculty member | 1.4 | 2.1 |
| Ratio of highly cited articles to faculty members | 0 | 0.1 |
| Ratio of financially supported theses to total theses | 5 | 30 |
Source: Strategic Plan of the Department of Mathematics, Faculty of Intelligent Systems Engineering and Data Science [citation:1]
The Department of Mathematics at Persian Gulf University, relying on the scientific strength of its faculty members, its position within the Faculty of Intelligent Systems Engineering and Data Science, and its alignment with the frontiers of modern knowledge, continues its path toward scientific excellence, impactful research, and the training of the next generation of specialists in mathematics, artificial intelligence, and data science.