The article proposes an approach to formalize knowledge about the process of determining the parameters of the planned interception using heuristic methods, which are the best in terms of practice, experience, intuition, knowledge of decision makers when aiming fighters at air targets, and looking for solutions within some subspace of possible solutions. The proposed mathematical model allows to formalize the factors that are taken into account when guiding fighters, in the form of linguistic and interval-estimated parameters for each option, which allow to take into account the uncertainty. The initial data of the method is a recommendation regarding the appropriate method of guidance, the hemisphere of the attack of the fighter during guidance. Decisions on the application of the appropriate method of guidance is possible only after the analysis of the conditions of hostilities, the tactical position of the fighter at the time of detection of air targets, taking into account the dynamic characteristics of each method of guidance. It is revealed that automation of information preparation, formation of various variants of application of parameters of the planned interception, is possible at the expense of realization of the corresponding system of support of decision-making. It is substantiated that a logical-linguistic production hierarchical model is expedient as a mathematical model for determining the parameters of interception..