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The paper considers the development of methodological approaches to assessing the qualitative composition of carbon nanomaterials (nanotubes) and predicting their behavior in processes based on the theory of fuzzy sets. The state of the nanotechnology industry is analyzed, and the problematic moments of its development are highlighted. The necessity of proposing new approaches to evaluate nanomaterials due to the specificity of their properties is substantiated. The trends in the industrial use of carbon-based nanomaterials are identified, and the importance of their rational application based on an objective description of the qualitative composition of carbon nanomaterials for the development of the nanotechnology industry is shown. In this regard, it is proposed to use the mathematical apparatus of the theory of fuzzy sets, linguistic variables, and corresponding mathematical methods considering expert opinions and experimental results. A mathematical model created allows to predict the behavior of the nanotubes in various processes and solve the problem of the latters’ optimization.

Fuzzy logical-linguistic model for assessing the qualitative composition of carbon nanomaterials