Наредни састанак Семинара биће одржан онлајн у среду, 24. децембра 2025. са почетком у 19 часова.
Предавач: Dr. Palash Dutta, Associate Professor, Department of Mathematics, Adjunct Faculty, Centre for Atmospheric Studies, Dibrugarh University, Assam, India
Наслов предавања: THE EVOLUTION OF HYPERBOLIC FUZZY SET AND ITS APPLICATION IN CRIMINAL LINKAGE ANALYSIS
Апстракт: Criminal investigations are inherently complex, often plagued by ambiguous, incomplete, and conflicting information that challenges traditional analytical methods. Crime linkage, the process of identifying crimes committed by the same offender, is a critical task that requires sophisticated tools to handle such profound uncertainty. While fuzzy sets and their extensions like intuitionistic fuzzy sets have been applied to model uncertainty in crime data, they can struggle with the simultaneous presence of multiple, independent types of uncertainty in evidential attributes. This paper explores the evolution of fuzzy set theory into the domain of Hyperbolic Fuzzy Sets (HyFSs), which provide a more nuanced mathematical structure for capturing and computing with complex uncertainty by assigning membership and non-membership degrees that are not necessarily complementary. We propose a novel similarity measure specifically designed for HyFSs, capable of effectively quantifying the resemblance between multiple crime profiles. The superiority of this measure over existing models is demonstrated through comparative numerical examples. Furthermore, its practical efficacy is validated through a detailed case study on criminal linkage, where it is used to identify connected series of offenses based on modus operandi and behavioral patterns. A systematic methodology for integrating HyFSs into the psychological profiling of offenders is also presented. The proposed framework offers investigators a powerful and mathematically robust tool for solving complex decision-making problems in criminology and forensic science.
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