Plenary Lecture

A Fuzzy Identification Problem for the Stationary Discrete Extremal Fuzzy Dynamic System

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: This work deals with the problem of the Stationary Discrete Extremal Fuzzy Dynamic System (SDEFDS)
identification and briefly discusses the results developed by G. Sirbiladze. The fuzzy process with possibilistic uncertainty, the source of which is expert knowledge reflections, is constructed. The dynamics of SDEFDS is described. Based on the fuzzy-integral model, methods and algorithms are developed for identifying the transition operator of the stationary discrete extremal fuzzy dynamic system. The SDEFDS transition operator is restored by means of expert data with possibilistic uncertainty, the source of which is expert knowledge reflections on the states of SDEFDS in the extremal fuzzy time intervals.
The regularization condition for obtaining a quasi-optimal estimator of the transition operator is represented by the theorems. The corresponding calculating algorithm is provided. The results obtained are illustrated by the example in the case of a finite set of SDEFDS states.

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. Dr. Gia Sirbiladze has published 54 scientific papers on the above-listed topics. He is an author of one monograph on Decision Making Problems in General Environment. Dr.Gia Sirbiladze has participated in many scientific conferences, including plenary speeches on WSEAS conferences. Dr.Gia Sirbiladze is a member of the National Union of Mathematicians in Georgia. He serves as a reviewer for Mathematical Reviews. He has reviewed papers for more then 15 international and local 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.