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  1. 1 Studia Humana

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  1. 1 Levin V. I.

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  1. 1 2015

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A Composition of Fuzzy Sets

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Levin V. I.
Studia Humana
|
2015
|
vol. 4
|
issue 4
39-46
EN
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.
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