Introduction. With the purpose of identification of initial information for setting tasks for fire-fighting subdivisions on place of fire, the model of general class of tasks solved by fire-fighting subdivisions (fire protection) at organization of planning of conducting combat operations is formalized, algorithms of identification of attributes of situation developing on the fire are resulted. The model and algorithms, as boundary conditions, contain the requirements of the current Combat Regulations. Identification of signs of the situation developing in a fire, depending on the preferences of the fire extinguishing manager, is based on the classical solution of the tasks set that have developed in the course of the development of the socio-historical development of society and are formalized in regulatory and administrative documents, and / or theoretical provisions. Purpose of research. It consists in development of mathematical toolkit (model and algorithms) of management decision-making support at planning of conducting combat operations on the objects of economy, social infrastructure and adjoining territory, based on mathematical logic with the purpose of application of mathematical methods. Methods. The methods of algebra of logic were used. Results and discussion. The genesis of the management problem was formalized. A toolkit (a model and algorithms) for modeling and identification of features of the situation developing in a fire, to which the head of fire extinguishing has to react adequately, has been offered – to set tasks to the personnel on fighting positions. The choice of normatively-administrative documents, results of scientific researches and experience of the head of fire extinguishing allows generating different algorithms for solving the posed problem, differing only by key steps (conditions) and the order of checking the properties of the signs, in the quality of the properties of the sign identifying the development of the task on fire. Three aspects are described for modeling and identifying a fire situation. Conclusions. The modeling and identification of attributes of the situation developing on the fire allows revealing the critical defects of information-analytical support of the fire extinguishing activity of participants on the initial stage of analysis. Keywords: logic algebra, algorithm, combat operations, task, modeling, model, planning, fire, fire extinguishing manager, control.