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** Description:** Development stages and practical application’s experience of development's dynamics mathematical model for socio-economic systems (SES) which allows to analyze, predict and optimize rates of approach to the necessary system’s indicators are given in article, forms a basis for adoption of strategic decisions on SES management. The algorithm of formation coordinated decisions complex which provides equation by criteria during a combination and research SES's development dynamics for different strategy in work is presented.

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Keywords:
** theory of fuzzy sets and fuzzy logic, mathematical model, management object, strategy, algorithm, making a decision

Lukianenko, T.V. (2013), “Doslidzhennia povedinky ssotsialno-ekonomichnoi systemy na osnovi matematychnoi modeli dynamiky rozvytku” [Behavior's research of socio-economic systems on the basis mathematical model of development's dynamics],