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The article presents the results of research on the problem of finding new models for assessing students ' competencies in the context of global trends in modern professional education – the merger of competence and project approaches, the development of e-learning, and the introduction of digital technologies to support expert systems. An original development of one of the soft models of fuzzy multiparametric assessment of competencies is proposed, and the mathematical apparatus of the model is described taking into account the requirements of fuzzy logic.

The article describes one of the possible models of fuzzy multiparametric assessment of students' competencies. The mathematical apparatus of the model is described, taking into account the requirements of fuzzy logic. The concept of competence indicators as generalized characteristics of competencies and as learning outcomes is specified; their comparability with labor functions and (or) labor actions and with the set of KS (Knowledge skills) is taken into account. This model is considered in the synthesis of the "discipline" - "project" categories in the education system.