The article considers one of the solutions to the problem of multi-criteria selection. Weights of the importance of the individual criteria are considered as uncontrolled factors and are calculated on the principle of guaranteed result at each point of the selection area. The method also allows taking into account the additional qualitative information about the DM preferences on the set of individual optimality criteria. Qualitative information about the preferences may be incomplete and may not provide a precise numerical estimates. The article provides analytical expressions for the automatic calculation of importance weights of taking into account individual preferences using the generalized logical criterion. The article considers the problem of approximating the area of efficiency in multiobjective optimization problems using the generalized logical criterion of optimality and makes the analysis of Pareto-efficiency area.

Keywords: decision making problem, multiobjective multicriteria optimization, qualitative additional information, guaranteed result, weighting coefficients, approximation of the Pareto-efficiency area

The paper proposes to perform quality control of the production work on the consolidation of soil foundation with the use of the method. Application of geo-radiolocation sensing allows to specify and complement the results of engineering and geological surveys, as well as capture the changes taking place in the grounds of foundations after work on fixing them. This will provide a comprehensive picture of the grouting in the underlying foundation of the building and provide a reliable and simple quality control work.

Keywords: Geophysical methods,monitoring of the geological environment, landslide hazard.