In the article are described models and methods of formalizing and modeling process of decision making in systems with situation awareness (SAW systems). The definitions of mathematical formalization of situation are discussed. Also, the unifying algebraic model, allowing the usage of different tools for situation awareness modeling, based of Algebra of Systems was proposed. We analyze the term of description logic and its advantages and disadvantages. The mappings between algebraic model, description logic and interpreted systems are proposed.
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