| Research Group Title |
Soft sets, Fuzzy Mathematics and Decision Making Techniques |
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| Area of Research |
Fuzzy Sets, Rough Sets, Soft Set, Hypersoft Set, Neutrosophic Sets, Multicriteria Decision Making, Optimizations, Artificial Intelligence, Pattern recognition and optimization under convex environments, Graph theory in fuzzy-like, soft-like and hypersoft-like environments, similarity, distance measures and their relevant operators in multipolar hybrid structures |
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| Theme of Research / Goals |
Disease diagnosis, pattern recognition, business optimization, Decision Theory, Control Systems, Artificial Intelligence, Computer Aided Design |
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| Faculty Members |
Dr. Muhammad Saeed, Dr. Tabassam Rashid, Dr. Ubaid ur Rehman, Dr. Muhammad Tanveer Hussain |
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| Collaborating UMT Departments |
Mathematics |
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| Collaborating National Institutes |
Dr. Muhammad Riaz (University of the Punjab), Prof. Dr. Muhammad Rafique (UCP), Dr. Muhammad Farhan (UOL), Muhammad Saqlain (LGU), Prof. Dr. Tahir Mahmood (IIUI), Dr. Kifayat Ullah (Rifah International, Lahore) |
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| Collaborating International Institutes |
Florentin Smarandache, Said Broumi, Miin-Shen Yang, Jihad H. Asad, Bhimraj Basumatary, Thabet Abdul-Jawad, Vimala Jayakumar, Xiao Long Xin, Alok Dhittal, Hamiden Abd El-Wahed Khalifa, Sultan Alodhaibi, Harish Garg, Mazen Muhammad, Salvatore Sessa |
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| Names of Active Senior Students |
Muhammad Hassan, Mudassra, Fatima, Amna, Atiqe-Ur-Rehman, Muhammad Ihsan, Shazia Rana, Muhammad Arshad, Muhammad Imran Harl, Muhammad Haris Saeed, Mubashir Ali, Mehr-Un-Nisa, Neha Andleeb, Imrana Shafique |
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| Short Description of the Research Theme |
The research focuses on the integration of uncertainty in human decision making using Fuzzy Mathematics. The course involves the mathematical modelling of human intuition which is further processed using fuzzy hybrid structures designed based on different scenarios with applications in business, basic sciences, medical sciences, and engineering. |
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| SDGs Covered |
SDG3, SDG4, SDG8, SDG9 |
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| List of 5 relevant publications: |
- Harl MI, Saeed M, Saeed MH, Habib MS, Ullah M. Assimilation of Matrix Operations with Picture Fuzzy Hypersoft Structures for Complex Decision Scenarios. Int J Comput Intell Syst. 2025;18:243. doi:10.1007/s44196-025-00997-z.
- Javed MA, Saeed M. Energy of fuzzy hypersoft sets with application in machine learning for decision making. Punjab Univ J Math. 2025;57(3):283–308. doi:10.52280/pujm.2025.57(03)03.
- Rashid T, Amman M, Ali A. Enhanced multi-criteria decision-making through fuzzy soft set parameter reduction and score optimization. Punjab Univ J Math. 2025;57(10):1104–1130. doi:10.52280/pujm.2025.57(10)04.
- Rehman U, Mahmood T, Hayat K, Ahmmad J. Lattice ordered N-soft sets and their applications in decision making. J Intell Fuzzy Syst. 2026;50(1):118–137. doi:10.1177/18758967251334234.
- Hussain MT, Shafique I, Ullah S. A novel TriCore scheme for multiple RGB images in telemedicine environments. Knowl Based Syst. 2025;329:114451. doi:10.1016/j.knosys.2025.114451.
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