Advanced Techniques of Mathematical Aggregation and Approximative Equations Solving in Digital Operational Research, AT-MATADOR (2023-2026)
Project Reference No: 6565, supported by the Science Fund of the Republic of Serbia
Project leader: Andreja Tepavčević
Project description
The project aims to develop and investigate new techniques in contemporary mathematical areas that deal with aggregation operators and approximative equation solving. The main objective is to obtain advanced techniques applicable to digital operational research. A particular interest will be problems in Digital Forensics. The proposed research will combine classical computational intelligence techniques originating in mathematical structures with new procedures based on modern mathematical tools from Fuzzy Set Theory and Decision-Making Theory, such as aggregation operators, fuzzy measures, and fuzzy relation equations.
Therefore, the central concept of the proposed project consists of developing new techniques in the broader area of Fuzzy systems and Decision making oriented to problems of digital operational research, with particular attention dedicated to Digital forensics. In this context, the team will extend methods that have already been obtained in the previous research of the project members and construct user-friendly models based on various types of aggregation operators. The obtained methods will be applied to problems that appear in digital media due to the lack of information, corrupted data, or errors, as well as to problems of data ranking.
The main expected result of the proposed project is the development of new nonstandard mathematical methods of digital operational research constructed in fuzzy logic, fuzzy systems, fuzzy relational equations, decision theory, fuzzy measures, and aggregator operators' surroundings. The obtained results of the project will be published in journals of the highest category and presented at the leading conferences in this area. The expected impact is on the scientific community, theory and application, and the Digital forensics practice. The proposed project is closely related to the action Digital Forensics Evidence Analysis via Intelligent Systems and Practices CA17124 (Digforasp), funded by the COST, and joins experts from several European countries. The CA17124 is now in its ending phase. However, research and collaborations established within this action are foreknown to continue, and the proposed project will have a crucial part in this continuation.
List of researchers
| Andreja Tepavčević |
|
full research professor |
|
Mathematical Institute SANU and full professor Faculty of Science, University of Novi Sad |
|
andreja@dmi.uns.ac.rs |
| Ivana Stajner-Papuga |
|
full professor |
|
Faculty of Science, University of Novi Sad |
|
ivana.stajner@dmi.uns.ac.rs |
| Vanja Stepanović |
|
assistant professor |
|
Faculty of Agriculture, University of Belgrade |
|
vanja@agrif.bg.ac.rs |
| Dragan Jočić |
|
research assistant professor |
|
Mathematical Institute SANU |
|
jocicndragan@gmail.com |
| Branimir Šešelja |
|
full professor retired |
|
University of Novi Sad, external collaborator |
|
seselja@dmi.uns.ac.rs |
