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The definition of crisp dominating tactics for development of alternative control decisions in the conditions of total uncertainty

Abstract

The definition of crisp dominating tactics for development of alternative control decisions in the conditions of total uncertainty

L.A. Ginis, S.P. Vovk

Incoming article date: 04.04.2014

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