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Advanced theoretical concepts in AI with practical applications in digital forensics and digital operations research

Article Choquet integral in ranking data: on the construction of a measure of importance and interaction, containing results from the project AT MATADOR published in journal Soft Computing.

Authors: M. Eugenia Cornejo, Jesús Medina, Ivana Štajner-Papuga & Andreja Tepavčević

https://link.springer.com/article/10.1007/s00500-025-10585-0

The focus of this paper is on a new method for the prioritization of data based on the Choquet integral. Since this method incorporates integral aggregation operators with a fuzzy measure in their core, the main topic is the construction of an appropriate fuzzy measure. The choice of fuzzy measure represents the significance and interaction of different criteria of the investigated data. An illustration of the proposed model on a small part of the Bilbao crime data set is given.

Article P-algebras containing results from the project AT MATADOR has been published in Axioms, a journal of category M21.

Authors: Elijah Eghosa Edeghagba, Branimir Šešelja, Andreja Tepavčević

https://doi.org/10.3390/axioms14020081

The research was conducted with the support of the Science Fund of the Republic of Serbia, project #6565, Advanced Techniques of Mathematical Aggregation and Approximative Equations Solving in Digital Operational Research - AT-MATADOR.

Article P-sets containing results from the project AT MATADOR has been published in Fuzzy Sets and Systems, a  journal of category M21a.

Authors: Eszter K. Horváth, Leonard Kwuida, Branimir Šešelja, Andreja Tepavčević

https://doi.org/10.1016/j.fss.2024.109244

Introducing and studying P-sets is a basis for the introduction of P-algebras, which will be connected to further application, especially to solving approximate equations in the most general setting.