A Composition of Fuzzy Sets
By: Vitaly I. Levin
Abstract
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.
DOI: https://doi.org/10.1515/sh-2015-0024 | Journal eISSN: 2299-0518
Language: English
Page range: 39 - 46
Published online: Feb 12, 2016
Published in print: Dec 1, 2015
Published by: University of Information Technology and Management in Rzeszow
In partnership with: Paradigm Publishing Services
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© 2016 Vitaly I. Levin, published by University of Information Technology and Management in Rzeszow
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.