Abstract: In this speech we will perform the analysis of Dempster-Shafer temporalized structure and finite possibilistic Extremal Fuzzy Dynamic System (EFDS) for the construction of more precise decisions based on the expert (or decision making person - DMP) knowledge stream. The process of decision precision consists of two steps. On the first step the relation of information precision is defined on a monotone sequence of bodies of evidence; Negative inaccuracy is defined as the stream of rational expert knowledge in Dempster-Shafer temporalized structure; The principle of negative inaccuracy is developed, as the maximum principle of knowledge ignorance measure of a body of evidence. Corresponding mathematical programming problem is constructed. On the output of the 1-st step we receive the expert knowledge precision stream of the criteria with respect to any decision. On the 2-nd step the constructed stream is an input trajectory for the finite possibilistic model of EFDS. The fuzzy recurrent process with possibilistic uncertainty, the source of which is expert knowledge reflections on the states of evolutionary complex system, is constructed. The dynamics of possibilistic EFDS is described and the constructed model is converted to the finite model. The modeling process gives us the more precise decisions as a prediction of a temporalization procedure, where possible alternatives - decisions are ranked by their possibility levels. The prediction is regularized in the fuzzy time moments. A genetic algorithm approach is developed for identifying of the transition operation of the EFDS finite model.
For the illustration of the constructed approach two examples will be considered: 1. The constructed technology is applied in the Utility Theory (non-probabilistic, dissonant body of evidence). An example on the optimal choice of the master’s degree students project’s versions is presented. 2. Dempster-Shafer temporalized structure and finite possibilistic EFDS are used for the construction of more precise decisions in the well known A. Kaufmann’s theory of expertons based on the experts’ intellectual activities and their knowledge presentations. As an example we use the temporalized theory of expertons in the problem of risk valuations (dissonant body of evidence).

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 Sciences. 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, Intelligent Simulation Modeling, Fuzzy Extremal Dynamic Systems - Control, Filtration and Identification, Fuzzy Discrete Optimization Problems and Modeling Decisions. Dr. Gia Sirbiladze has published over 65 scientific papers on the above-listed topics and participated in many scientific conferences. He has participated in many WSEAS conferences, including as a Plenary Speaker. He is an author of one monograph on Decision Making Problems in General Environment. 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.