Static and Dynamic Integrated Expert Systems: State of the Art, Problems and Trends

Systemized analysis of trends towards integration and hybridization in contemporary expert systems is conducted, and a particular class of applied expert systems, integrated expert systems, is considered. For this purpose, terminology, classification, and models, proposed by the author, are employed. As examples of integrated expert systems, Russian systems designed in this field and available to the majority of specialists are analyzed.

Problems Connected with the Realisation of State E-governance in the Republic of Bulgaria

Report published in the Proceedings of the National Conference on "Education in the Information Society", Plovdiv, May, 2013

Strong-weak Stackelberg Problems in Finite Dimensional Spaces

We are concerned with two-level optimization problems called strongweak Stackelberg problems, generalizing the class of Stackelberg problems in the strong and weak sense. In order to handle the fact that the considered two-level optimization problems may fail to have a solution under mild assumptions, we consider a regularization involving ε-approximate optimal solutions in the lower level problems. We prove the existence of optimal solutions for such regularized problems and present some approximation results when the parameter ǫ goes to zero. Finally, as an example, we consider an optimization problem associated to a best bound given in [2] for a system of nondifferentiable convex inequalities.

Situation Centers in Modern State

Development of information technologies and hardware-software means make it possible to integrate various engineering solutions of technical, technological and information nature within the framework of the single system of implementation. The situation center (SC) represents the complex of hardware-software means for the personal and team work of the managers group. Its main task consists in supporting decision-making on technical and strategic management solutions based on visualization and analytical procession of information. The SC ensures the support of preparation and decision making in particular: − elaboration of the versions and recommendations taking into account various conditions and limitations; − choice or creation of the situation analysis model; − structurization of the problems and definition of the most informative parameters; − monitoring of socio-economical and socio-political information.

Well-Posedness and Conditioning of Optimization Problems

AMS subject classification: 49K40, 90C31.