Plenary Lecture

On New Fuzzy Approaches in Weakly Structured Processes’ Modeling

Professor Gia Sirbiladze
Department of Computer Science
Faculty of Exact & Natural Sciences
Iv. Javakhishvili Tbilisi State University
Georgia
E-mail: gia.sirbiladze@tsu.ge

Abstract: The Plenary Speech presents a new approach to the study of modeling of weakly structured processes by fuzzy dynamic systems (Extremal Fuzzy Dynamic System (EFDS)). This approach is based on the Monograph: “Gia Sirbiladze, Extremal Fuzzy Dynamic Systems - Theory and Applications, IFSR International Series on Systems Science and Engineering, 28, Springer, 2014” and recent results received by G. Sirbiladze in this direction. Different from other approaches where the source of fuzzy uncertainty in dynamic systems is expert's knowledge, this approach considers fuzzy time intervals in which expert reflects evaluations of systems states. This notably widens the area of studied problems. All these is connected to the incomplete, imprecise, anomalous and extremal processes in nature and society, where connections between the system’s objects are weakly structured, which is caused by lack of complete objective information about the evolution of studied processes. This approach may successfully apply, For example, in 1) complex engineering processes; 2) decision making problems in economics and business for extreme environment; 3) emergency management problems in after disaster region (evacuation processes, transportation of humanitarian aid goods, facility location in catastrophe areas, estimation of disease spreading in epidemical regions); 4) research of complex systems of applied physics; 5) conflictology, sociology, medical diagnosis; 6) big data analytics, where big time series are transformed in EFDS; etc. One of our purposes is to create scenarios describing possible evolution of EFDS using methods of optimization developed by the framework of fuzzy sets theory. This includes construction of algorithms of fuzzy technology simulations of abnormal and extremal processes. Dual (extreme) approach to the research in weakly structured dynamic systems with respect to fuzzy-time is a novelty and does not have analogues today. The extremity of fuzzy processes allows fuzzy-dynamic systems and their prediction to be described by the “extended current and compressed future fuzzy time intervals” in phase-time intervals and thus obtain more reliable information on the expert, his knowledge, the study of EFDS, etc. We thus provide new types of structures for expert knowledge streams in synthesis and analysis problems. Taking into account the control element, for EFDS we construct new fuzzy-integral models. Reliable fuzzy-scenarios are also built for future time-intervals, and these scenarios provide new possibilities for challenging dynamic systems research. The software library representing a new instrument for projecting decision making intellectual systems and expert systems is constructed.

Brief Biography of the Speaker: Dr. Gia Sirbiladze is a full professor at the Department of Computer Science of Faculty of Exact & Natural Sciences of Iv. Javakhishvili Tbilisi State University, Georgia. He received his Ph.D. degree in 1991 from the Computational Mathematics Institute of the Georgian Academy of Science. He received his D. Sci. degree from the same institute in 2005. His scientific interests include areas such as Intelligent Fuzzy Technologies and General Systems, Fuzzy Technologies in Decision-making Support Systems, Fuzzy Extremal Dynamic Systems - Control, Filtration and Identification, Fuzzy Discrete Optimization Problems and Modeling Decisions, Modeling of Uncertainty and Imprecision of complex processes, Multiple Attribute/Criteria Decision Making, Fuzzy Aggregation operators in expert knowledge engineering and decision making. Dr. Gia Sirbiladze has published about 170 scientific papers on the above-listed topics. He is an author of two monograph on Decision Making Problems and Extreme Dynamic Systems in General Uncertain Environment. He has reviewed papers for more then 25 international journals and conferences. He serves as Information Technology expert for Georgian National Scientific Fund. Dr.Gia Sirbiladze has participated in several national and international research projects.

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