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Professor, doctor of tech sciences, PhD, Member of International and European Informatization Academies, International Academy of Ecology and Life Protection, Russian Academy of Social Sciences, Honored Scientist of Russia, Soros Prize Laureate, author of many works published in 20 countries.
Topics: Applied Mathematics; Mathematical Logic; Mathematical Modelling in Engineering, Economy, Sociology, History and Bible Science; Philosophy and History of Science, Problems of Education, Systems with Indeterminate Parameters.
Email: levin@pgta.ru
A new operation on fuzzy sets – the r-composition of n-sets – is introduced. The particular cases of this operation are logical conjunction (r = 1) or disjunction (r = n). In the general case (1 < r < n), this operation is purely fuzzy and has no analogs among the operations on fuzzy sets. The operation of r-composition is applied to the solution of control problems under uncertainty.