Title of article
ANOTHER LOOK AT INHERITANCE OF UNIFORM CONTINUITY OF 1-DIMENSIONAL AGGREGATION FUNCTIONS BY THEIR SUPER-ADDITIVE TRANSFORMATIONS
Author/Authors
Kouchakinejad, Fateme Department of Statistics - Faculty of Mathematics and Computer - Shahid Bahonar University of Keman - Kerman, Iran , Siposova, Alexandra Faculty of Civil Engineering - Slovak University of Technology - Bratislava, Slovakia
Pages
5
From page
191
To page
195
Abstract
In an earlier paper by Seliga, Siran and the second author (J. Mahani Math. Res. Center 8 (2019) 37–51) on lifting continuity properties of aggregation functions to their super- and sub-additive transformations it was shown that uniform continuity is preserved by super-additive transformations in dimension 1. We give a shorter and more direct proof of this result and of a related linear bound on uniformly continuous aggregation functions.
Keywords
aggregation function , sub-additive and super-additive transformation , uniform continuity
Journal title
Journal of Mahani Mathematical Research Center
Serial Year
2022
Record number
2733063
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