**TECHNIQUE OF MULTI-CRITERIAL ASSESSMENT OF COMPETENCE IN THE TASK OF FORMATION OF WORKING GROUPS FOR IMPLEMENTATION OF UNIQUE PROJECTS**

**UDC 519.876.2**

**doi: 10.26102/2310-6018/2019.24.1.034**

N.A. Aleynikova, G.V. Shurshikova

The task of multi-criteria evaluation of the competencies and potential of the employees of the organization is investigated with a view to further distributing them among the works with the greatest efficiency. We believe that the work (tasks) are performed in the framework of a unique project. It is necessary to choose mathematical tools for the formalization of the task of selecting employees, since their competences and potential are evaluated according to a set of qualitative criteria, to develop a methodology for managing working groups. As a basic model for the optimal distribution of employees by work, it is proposed to use the assignment task model. The coefficients of its objective function, which are integral assessments of employees’ competencies, are proposed to be determined using the hierarchy analysis method (AHP). AHP allows you to create a clear structure linking the tasks within the project, the employees and the competencies that they should have, for finding the weights of the employees relative to each task. In the framework of the AHP, there is a problem of inconsistency of matrices of pairwise comparisons, which does not allow to get adequate weights for employees and, of course, correctly evaluate the coefficients of the objective function in the assignment problem. To overcome the inconsistency problem, it is proposed to use the mathematical apparatus of tropical (idempotent) mathematics. Tropical Mathematics also provides relatively simple finite formulas for determining the weight vector of parameters to be estimated. A methodology for multi-criteria competence assessment in the task of forming working groups for the implementation of unique projects was developed. The implementation of the stages of the technique is considered by example.

**Keywords: **:assignment problem, expert estimation methods, hierarchy analysis method, tropical (idempotent) mathematics.

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