Formalization of Project Team Formation, Taking into Account the Personality Traits of Candidates
Keywords:
mathematical model, team formation, competency, role, personality trait, fuzzy set, trapezoidal fuzzy intervalAbstract
The goal of the paper is to create a mathematical model for optimizing the composition of an IT project team, which would take into account the need to maximize the technical skills of candidates, their ability to perform the necessary roles, considering a set of assessments of these factors, as well as the agreeableness and conscientiousness of its members. The model should take into account the limitations on team members' competencies, their working hours, and labor costs. An approach to solving the problem is proposed, which involves presenting the requirements for candidates' competencies and assessing their competencies and abilities to perform specific roles in the project using fuzzy sets. At the same time, assessments of competencies and abilities to perform certain roles are represented by trapezoidal fuzzy intervals. A method is proposed for defuzzifying the problem by calculating the value of the membership function of the requirement at a point equal to the lower modal value of the fuzzy interval describing the properties of the candidates. The proposed task may not have a solution if the candidates' competencies do not meet the constraints. The model allows finding the optimal extension of the set of feasible solutions by training candidates. An example of solving the task of forming an IT team is considered.
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