The article suggested considering certain components of the professional competence as fuzzy sets and strictly the professional competence as a universal fuzzy set. A model of the projection of a fuzzy individual professional educational trajectory (FIPET) on the basis of modalities is “essentially” and “possibly” presented. The mathematical solution to the problem of the optimum choice of courses of the career enhancement on the basis of the expert estimation of the level of professional competence and one’s own preferences of a trainee is proposed.