SOME ROUGH HAUSDORFF LIMIT LAWS FOR SEQUENCES OF SETS


Creative Commons License

Olmez O., ALBAYRAK H., AYTAR S.

FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, cilt.37, sa.3, ss.621-629, 2022 (ESCI)

Özet

In this study, we observe the change of roughness degree for the rough Hausdorff convergence of a sequence, consisting of the product of a sequence of sets and a sequence of real numbers. Then we prove that the rough Hausdorff convergence is preserved under the operators of addition, union, Cartesian product and convex hull.