À propos de cet article
Publié en ligne: 12 févr. 2016
Pages: 39 - 46
DOI: https://doi.org/10.1515/sh-2015-0024
© 2016
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
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.