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The task of optimization fibre optic systems of connection (FOSC) can be considered as the task of a choice unique (sole) by best in any sense of alternative from an admissible set. If quality or usefulness are measured with the help of known scalar function, methodological problems then ranking is produced, i.e. the separation is especially important, important and such, which role is possible to neglect. Certainly, choice of weight of this or that criterion of optimization is a problem, which can not be posed and solved with a full determinancy.