BIMSA >
ICMRA 系列讲座
ICMRA 系列讲座
Neutrosophic Set theory and Their Extensions: Foundations, Mathematical Models, and Real-World Applications
Neutrosophic Set theory and Their Extensions: Foundations, Mathematical Models, and Real-World Applications
演讲者
时间
2026年09月11日 15:00 至 16:00
地点
A3-1-301
线上
Zoom 293 812 9202
(BIMSA)
摘要
In real-world data science, engineering, and decision-making environments, information is rarely perfect. Standard mathematical models often struggle to handle complex imperfections such as imprecision, incompleteness, inconsistency, and indeterminacy.
This talk explores Neutrosophic Sets and Neutrosophic Logic, an advanced mathematical framework founded by Florentin Smarandache in 1995 to overcome the limitations of classical and fuzzy logic. Unlike traditional systems, neutrosophic logic evaluates statements independently across three dimensions: Truth (T), Indeterminacy (I), and Falsity (F).
The presentation covers the transition from classical logic to Fuzzy Sets (Zadeh, 1965) and Intuitionistic Fuzzy Sets (Atanassov, 1986), highlighting how neutrosophic sets offer a unified, flexible approach to uncertainty. Key concepts discussed include the geometric representation of the Neutrosophic Cube, various foundational and hybrid extensions (such as SVNS, INS, Complex NS, and Spherical NS), and the score/accuracy evaluation functions. Furthermore, practical implementation domains—including Multi-Criteria Decision Making (MCDM), medical image analysis, AI machine learning models, financial risk assessment, and computational software tools—are systematically reviewed
This talk explores Neutrosophic Sets and Neutrosophic Logic, an advanced mathematical framework founded by Florentin Smarandache in 1995 to overcome the limitations of classical and fuzzy logic. Unlike traditional systems, neutrosophic logic evaluates statements independently across three dimensions: Truth (T), Indeterminacy (I), and Falsity (F).
The presentation covers the transition from classical logic to Fuzzy Sets (Zadeh, 1965) and Intuitionistic Fuzzy Sets (Atanassov, 1986), highlighting how neutrosophic sets offer a unified, flexible approach to uncertainty. Key concepts discussed include the geometric representation of the Neutrosophic Cube, various foundational and hybrid extensions (such as SVNS, INS, Complex NS, and Spherical NS), and the score/accuracy evaluation functions. Furthermore, practical implementation domains—including Multi-Criteria Decision Making (MCDM), medical image analysis, AI machine learning models, financial risk assessment, and computational software tools—are systematically reviewed
演讲者介绍
Dr. Broumi Said completed his MSc and PhD in Computer Science from University of Hassan II of Casablanca, Morocco. Currently, he is serving as an Assistant Professor at Regional Center for the Professions of Education and Training, Casablanca-Settat, Morocco. He is permanent member at Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, Casablanca, Morocco .His research interests are in the field of graph theory, extended fuzzy graphs, decision analysis and neutrosophic theory. He has diversity in his research work. he has published several work on neutrosophic graph theory, soft set theory, multi-attribute decision analysis and some alternative theories of Neutrosophic Mathematics. He has published more than 200 research articles in international peer-reviewed ISI Indexed /Impact factor journals. Some of his papers have been published in high impact journals including, Complex & Intelligent Systems, Computational and Applied Mathematics, Symmetry, and Journal of Neutrosophic Set and Systems. His work has largely been cited and total citation is more than 5992 (Scholar Google, H-index 41). He has presented his research work at some national as well as international conferences. He has been acting as a reviewer for a number of International journals.