(2204-7314) A note on uniform continuity of super-additive transformations of aggregation functions

Document Type : Research Paper


Department of Mathematics and descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology, Bratislava, Slovakia



Extending and completing earlier results on lifting certain continuity properties of aggregation functions by super- and sub-additive transformations (J. Mahani Math. Res. Center 8 (2019) 37--51, and Iranian J. Fuzzy Sets 17 (2020) 2, 165--168), we prove that uniform continuity of multi-dimensional aggregation functions is preserved under super-additive transformations.