<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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 &lt; r &lt; 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.</p></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.

A Composition of Fuzzy Sets

Mathematics Department, Penza State Technological University 1-a, Baidukov pr., Penza, 440039, Russia

Studia Humana

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"A Composition of Fuzzy Sets"}

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...

A Composition of Fuzzy Sets

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.