This article is devoted to description of structure of methodology of modelling of hierarchical problem-directed systems on the example of social and economic systems. In the basis of methodology the principle of a combination of the formalized methods of modelling and expert procedures is put. Modelling of hierarchical system is offered to be spent by means of multilayered fuzzy cognitive maps. Filling of the block of logical-mathematical models in structure of process of decision-making is described in detail. The offered methodology provides the development and choice of well-founded administrative decisions.

Keywords: Problem-directed system, decision making, fuzzy cognitive model, methodology

The article is devoted to modelling of process of decision-making in difficult systems in the conditions of total uncertainty. The problem is formulated on the basis of synthesis of concepts of the control theory and decision-making, the theory of fuzzy sets and the fuzzy logic, the theory of hierarchical multilevel systems, the utility theory and the theory of games. The given concept expands possibilities of the account uncertainty the various nature, typical to mathematical description of the surrounding validity. Problems of search of decisions in an fuzzy hierarchical control system are designated. The way of the description and finding of alternative decisions in multilevel difficult systems is offered in given article. The algorithm is based on information processing in the form of fuzzy intervals taking into account two kinds the politician conservative and aggressive on the basis of criteria «maxmin» and «minmax». The method of projection on individual interval is used for comparison of the fuzzy intervals presented on various dimension scales. The example showing work of algorithm of a choice of two groups of alternatives is resulted: optimistic and pessimistic on a level of hierarchies of the purposes in the conditions of total uncertainty.

Keywords: Difficult system; decision making, fuzzy interval, the control decision; total uncertainty

In the article the approach to modelling and the analysis of functioning of difficult systems based on indistinct cognitive maps is described. The theoretical part of the article is devoted description of modern family cognitive maps, the short characteristic and the analysis of following groups is given: Cognitive Maps, Fuzzy Cognitive Maps, Fuzzy Cognitive Maps by Silov, Rules Based Fuzzy Cognitive Maps, Generalized Rules Based Fuzzy Cognitive Maps, Relational Fuzzy Cognitive Maps, Neutrosophic Relational Maps, Dynamic cognitive networks. The concept of fuzzy way is entered for the development of mathematical toolkit and the model of fuzzy pulse process is offered. The practical component of the article is directed on the description of examples of the decision of separate problems of cognitive modelling with application of the device fuzzy directed graph of the 1st kind. The offered approach will allow to develop forecast scenarios of development of difficult system taking into account its reaction on external influences.

Keywords: difficult system, fuzzy model, fuzzy cognitive map, fuzzy way